Post a picture of the floors and one of the entire room

How nice that you kept your mom's table!

I bet she is thrilled that you value it and the memories you had of it enough to invest money in it and want to keep it for your own family to make memories at it.

Good for you!!

Here is the picture of the whole room with the floors. Everything in the entire space is going with the exception of the table. I am open to all suggestions on flooring, dining room chairs, lighting etc. Thank you in advance for any suggestions!

Your floors are beautiful and classic. They work with everything! Lucky you! I would go with a more traditional light and a Persian style carpet to add some color.

Ooh, I love the chairs Grapefruit posted.

The rug needs to be bigger than what's there now; you want it big enough that the chairs stay on the rug when pulled out in normal use.

I like modern or transitional chairs paired with beautiful old tables. To link them, pick chairs with wooden legs that harmonize with the table.

Transitional:

Winthrop Rd Traditional · More Info

Cover old chairs that go with the table:

Sandy House- Dining · More Info

Serene Family Home · More Info

Ruby / garnet ? polyester-blend upholstery and durable poplar wood. transitional style. W 22" / D 18" / H 40"

Brown if you buy a lively colors in rug?

Aprilia Dark Red Upholstered Dining Chairs, Set of 2, Dark Red · More Info

Aprilia Dark Red Upholstered Dining Chairs, Set of 2, Perfect Brown · More Info

https://www.houzz.com/products/aprilia-dark-red-upholstered-dining-chairs-set-of-2-prvw-vr~36548819

Just another to match cawaps rug [l like the blue], or housegal curtains....

Coaster Side Chair, Terracotta/Cappuccino, Set of 2 · More Info

https://www.houzz.com/products/bloomfield-microfiber-parson-dining-side-chair-set-of-2-terracotta-prvw-vr~116023056

Weathered finish a 'no'? rustic and weathered finish in smoke gray. 19" L x 20" D x 37" H. Birch Wood, Veneer.

Demi Rustic Side Chairs, Set of 2 · More Info

https://www.houzz.com/products/demi-rustic-side-chairs-set-of-2-prvw-vr~38984149

one more - is this too casual?

Imax Worldwide Chatham Metal Arm Chair · More Info

https://www.houzz.com/products/westfield-metal-arm-chair-gray-prvw-vr~37861717

If the table has leaves, put them all in. Then measure the table length and width. Add 4’ to the length and 4’ to the width: that is the MINIMUM size rug you need. It allows two feet of rug all around the table so people in the chairs will not have to “jump the edge” of the rug to pull their chair toward the table when dining.
Because your table is traditional without being overly ornate, almost any style chair should work with it if the wood part of the chairs is in the same or similar color range as the table. The colors in the rug could also serve to guide you in selecting the chair wood as well as the upholstery and window treatments. Some wonderful patterned rugs have been suggested.
The console table below the window works in the room, but the items on the left do not. You may have to adjust the accessory furniture to allow walking space around the table when the chairs are occupied. Your room looks long enough to move those pieces toward the end of the room if necessary.

The existing rug is much too small. To get the right size, try putting chairs around the table, and then pull them out as if you or a guest were getting up from the table. Then measure on the floor-- from the outside edge of pulled-out chair, across/under the table, to the outside edge of the pulled-out chair on the opposite side. Do this for each end of the table, too. You want to have all 4 legs of each chair on the rug at all times when they are pushed out. Otherwise the outer legs catch on the rug when pulling them out or in, making it difficult to get up from the table. And it looks better, too! If this room is also a passageway to another room (behind the photographer of your photo), I'd recommend relocating the piece of furniture on the left wall to a different location, as it seems too crowded.

It seems dark in there. I would buy wood chairs with light cushions or slipcovers. I would also get a lighter rug...maybe even a bleached jute to add texture.

https://www.houzz.com/products/country-farm-beach-house-dining-vintage-style-side-chair-beige-prvw-vr~139468835

Country Farm Beach House Dining Vintage Style Side Chair, Beige · More Info

What style is the rest of your furniture? Do you want wood floors, carpet or tile? Whatever you decide, pick something that goes with the cherry wood of the table. I am assuming it is the most predominant piece of furniture you own. Please don't get metal chairs, they are heavy and uncomfortable! The upholstered chairs look nice, and bring some color to your home as well (not great with small children's spills though).

keep the hardwood floors, refinish if needed. I think the lighter color of your floor will look better than going with darker flooring

If you want to lighten and modernize the space... strip floors, make them as natural and light as possible. Polyurethane them. Use chantilly white paint Benjamin Moore on walls, ceiling and trim. get chairs that fit proportionally to table but get a contemporary or transitional style. Get artwork that is colorful and bright , large statement pieces. Take a color from the artwork and use that to find fabric for your seat cushions on chairs. this will transform your table and room to be in style for the next decade!

As far as lighting goes use a more modern style. large scale piece to make a statement. Pick up on a color or finish that will work with the accent color from artwork and chair fabric. Or use white as material to match the paint! I don’t think you need a rug at all.

I love the table. Your floors are lovely, but they seem to have turned a bit orange from the oil based poly used that turns with age and sun. It happened to mine. I would refinish in a dark walnut where the poly won't effect it as the floors would be dark. You could also leave them natural, but I would do a water based finish to prevent yellowing. Don't buy cheap internet chairs with that gorgeous table. I'd like to see some nice upholstered chairs or ones with slipcovers like someone posted above. A nice light paint color on the wall - BM White Dove is a lovely warm neutral, and a larger rug in whatever style you chose. The rug doesn't have to be an oriental style you buy from a catalog. Lovely rugs are available a carpet stores that can be cut and bound to your size.

I suggest that you visit antique and vintage furniture dealers with a photo of your table. They might have just what you want.

Whatever chair you choose, make Sure it's comfortable. Nothing worse than an uncomfortable chair.

Good idea [above] to check out antique stores; one can always upholster and refinish if needed.

I like the terra cotta chair everdebz posted.

GoodLuck! finding what you like - hopefully a fun search.

I'd love to see a nice set of velvet button-back chairs--your color choice, with legs that come close to matching the table. I think you should also put a runner or other decor on the table somewhat for protection, but also to accessorize...

I also love your table... such a meaningful piece. here are a couple more ideas for chairs in a couple different styles...

https://www.ballarddesigns.com/ada-dining-chair---set-of-2/furniture/dining-kitchen/dining-chairs/537025?uniqueId=537025

https://www.ballarddesigns.com/elda-dining-chair/furniture/dining-kitchen/dining-chairs/544233?uniqueId=544233?&defattrib=Finish&defattribvalue=NOK

I think the table deserves a crystal chandelier of some sort. I would consider going to an antique store and seeing if you can find a vintage crystal chandelier... here are a few more, but non vintage

https://www.ballarddesigns.com/lucille-faceted-crystal-chandelier/lighting/indoor-lighting/chandeliers/555170?uniqueId=555170

https://www.lampsplus.com/products/emelia-19-and-three-quarter-inch-wide-antique-brass-and-crystal-pendant-light__58n45.html

https://www.lampsplus.com/products/magrite-26-and-one-half-inch-wide-gold-6-light-chandelier__64v77.html

https://www.lampsplus.com/products/calylah-21-and-one-half-inch-wide-chrome-and-crystal-chandelier__56n57.html

I think the dining area rug should be colorful and also like the idea of a persian style. agree it needs to be bigger and should fit the table and chairs on it when chairs are pulled out.

https://www.rugsusa.com/rugsusa/rugs/rugs-usa-tribal-embrace/Red/200MJSH04A-P.html

https://www.rugsusa.com/rugsusa/rugs/rugs-usa-printed-tribal-medallion-flatweave/Orange/200MKCL09A-P.html

https://www.rugsusa.com/rugsusa/rugs/rugs-usa-printed-floral-flatweave/Rust/200MKCL11A-P.html