It greatly depends on how well everything turns out. The installation, sanding, staining, and first coats. You should start out first with a gloss anyway... then cut the sheen if you choose on the final wear coat. If the gloss shows problem areas (ripples, waves) that a lower sheen might hide better, then you would cut it. I believe that a high gloss shows scratching more than a satin or semi-gloss.

If you are doing Chantilly Lace on the ceiling do it flat . I used Chantilly Lace on my walls in a flat because I have a new home and they only do flat here for new homes. If your woodwork paint is oil Chantilly Lace will turn in a year to a softer white. Satin is beautiful in oil but not in latex. Latex for moulding should be in semi gloss in my opinion. If you have another room with your gray flooring look at china white with Chantilly lace... I have a lot of gray and china white looks great.

wow your choices are almost identical to mine. We also got the Godmorgon vanity (but in walnut) as we felt we were doing so much gray and white everywhere, we needed to warm it up with a different tone. I don't think you can go wrong with either, but I'd probably pick gray over white, because the vanity top will be white as well. We have a very small bathroom and I don't feel the dark vanity really makes it feel claustrophobic!

Using pops of color is a perfectly acceptable answer. I generally do neutrals throughout the main living area, but add more color to bedrooms, bathrooms, laundry, Red is a strong color, so it is often better to add some touches rather than paint a whole room. I would try a few whites/off whites, try to get a white with a creamy undertone. Your wood trim and floors are perfect for a white/off white background. You also want to test some different lighting. I like daylight bulbs (5000 k), but I use a lot of purples in my décor and any yellow in the lighting turns purples to mud. It is a very white light with just the tiniest bit of yellow. It is not blue - you will hear that it is blue, but it isn't. The worlds top color experts set the standard for daylight The lower the K value the more yellow the light 2700 k only works in a few homes (Think historic Colonial or Tudor home with lots of dark woods and rich fall colors). Some people prefer a bit more warmth, some prefer less warmth. People in lower latitudes seem to have a preference for higher K values than those in colder climates. Many designers are designating 4000k as the end all be all perfect lighting, but you have to like the feeling that the lighting color creates. Test a couple of light bulb colors in a pair of bedroom lamps and see what feels good to you. Decide on lighting before picking your paint color as the light will change the appearance of the paint color. I would choose a white, off white or light color - something noticeably lighter than your cabinets. I would choose warmer, creamier tones. Something between the orange yellow of the cabinets and the greener tones in the counter. Here are a bunch that are where I would start. I love Creamy, Cotton White and Icing, but you should text a couple of others and see what they look like in your home. Icing is hands down my favorite white, but it has to work for you, in your home, with your lighting and your colors, not mine. You can get the Devine Icing at Benjamin Moore (company is no longer in existence, but the BM version is dead on.)