SW suggests Pure White so why not that or cut the wall color 50% and use that which is what I do alot of the time.

@Abby Marshall - glad the pictures showed up. I am currently renovating a fixer - will take a few more years until I am completely finished, but I have a color palette planned for the house and am slowly filling in colors on my master plan as I complete each room. When I moved in I knew I would be changing almost all the colors in the house, (Painting everything, replacing flooring and cabinetry. I looked around and decided on what must stay. My foyer had purple, red and green slate and I have a huge fireplace wall that is between the foyer and living room. The brick matches the outside of the home, so when someone walks up to the front door and looks through the foyer window it has the same brick inside and out. Those were really the only colors that were staying that I had to work with. Luckily, I love purple, red and teal and own a lot of art and things with those colors. I will be painting the living room, foyer and halls in a neutral that has not yet been finalized. I just got the original wall paper down and even with a good eye for color the gold metallic fleck wallpaper was making it hard for me to see what the neutrals would look like in these 2 rooms and get a feel for the way light will play on the walls (10' window facing east in the living room and 8' window facing west in the foyer.) The bedrooms and bathrooms will all be combinations of purples and teals. I look at the paint color as a back drop for the other things that will be in the room - bedding, lamps, art. I don't want something too brilliant that it fights with things, but I want enough color that it looks like I picked a color and not another neutral. I picked BM Quiet Moments (LCH 81 / 4.5 / 150 for my master bath, was planning BM Beach Glass (LCH 75 / 4.3 / 172) for my guest bath and bedroom, but ended up with SW Silver Mist (LCH 74 / 4.4 / 152) for the Guest Room. The hue of Beach Glass at 172 was too blue and was going powder blue where the sun came through the window. The 152 hue at this chroma level was a great match to my flooring in the foyer. So if you stand in my hallway you look one direction and see my foyer with the blue green flooring and a light that I painted a similar, but slightly more chromatic blue green. If you look the other direction you see the guest bedroom and the third direction the guest bath. Looking down the hall you will see my office. The floor color I used in the guest bath and guest bedroom is very similar to the purple slate in the foyer. The rest of the floors throughout the home complements the darker flooring - same design, but a light taupe (Purple undertone) vs the dark purple gray. I can pick any bedding I want as long as it has a bit of the blue green color. My office will be the transition from the blue greens to the purples that I want in the master bedroom. My living room will transition from the blue greens to a truer green in my dishes. Here is a snapshot of my color plan as it stands right now - still have not decided what purple is going in the master bedroom or how I am incorporating red into the kitchen, just know that when I do these rooms that I plan on doing red and purple. Hope this helps you with how to plan color selections for your house.

Sorry, it was late last night when I sent you the two links. I understand the hesitancy. Simply white is the right undertone, but may feel a bit too yellow, a bit too colorful when you are looking at samples vs looking at an entire wall. I also get that painting trim and ceilings is not inexpensive and something you don't want to make a mistake. @Beth H. : is one of the pros who posts often on Houzz and I believe I remember some posts from her where she stated that she had used White Dove and re-painted with Simply White. I think she used it on her Trim, Walls and Ceilings, but maybe she will see this post and chime in. There is not a color out there that works 100% of the time in every home. There is a reason that I didn't pick a ready formulated white and used the color match to icing. Although it is very slight, the difference between Simply White and Icing is that Simply White has a bit of gray added to the yellow, where Icing has orange. Both are very light whites, both give you a touch of warmth to soften the feeling, but I notice the slightest green tinge in Simply White that I don't see when I use Icing. Simply White would be my first choice if I had to choose a white from one of the stock formula whites from BM or SW. I am not sure that anyone would see a difference if I would have chosen Simply White instead of Icing, but my OCD took over the decision making process. Here are two photos of my foyer using BM Frosted Toffee (walls and ceiling) and Icing (door and trim).

Many times the same paint on the walls and ceiling work well. And sometimes the same paint on walls and trim is the best choice (different sheens). I would only do that if your bedroom wall paints would look good with Greek Villa trim, since it’s easiest to carry the trim color throughout the house. If you have crown molding and you want your molding to stand out, I think Chantilly Lace or HRW would work fine with Greek Villa. They have enough contrast to live together. It all depends on the look you want to have. Long term, brighter white trim like Chantilly lace is usually easier to work with if you want to change paint colors later.