For warm white walls, I like BM Ballet White OC-9. For (slightly brighter than Ballet White) trim, I like it paired with BM Swiss Coffee.

You can consider painting the wood trim the same color as the walls (using a different sheen).

I've used eggshell sheen on the walls and semi-gloss sheen on the trim.

Good suggestions so far - we have recently done BM navajo white with bm simply white trim - do you know of kylie m?

https://www.kylieminteriors.ca/the-8-best-whole-home-warm-neutral-paint-colors/

Decide if you want warm or cool white. Everything depends on the natural light in the space, the size of the room and the flooring... You said warm, but with a bright white trim, I am wondering why the bright white trim contrast?

Why not just one color, different sheens for a subtle interest?

Do you want to paint every room in the house the same color? The color of your furniture and floors should have a large influence on what you choose. To help us help you, post some pictures of the rooms you're planning on painting. One of my friends has painted all three of the houses she's owned over the years BM White Dove (walls and trim). It's a color that goes with pretty much everything. In SW, look at Pure White for trim.

While BM Decorator's White was recommended by another commenter, I dislike it, which just serves to remind us that everyone does not like the same thing. So you will need to consider a wide range of whites and off whites to start, then move on to Samplize samples (which are larger than chips) in the finalists. When you don't know where to start, I recommend looking at your preferred manufacturer's most popular colors, which they all show on their sites. There is a reason they're popular.

I painted every room in my house 5-6 years ago because I had moved, and a combination I used in several rooms was BM Soft Chamois on the walls with Simply White trim. Look at Pale Oak or Edgecomb Gray if you want more contrast with the trim (EG is not very gray).

I used BM White Dove on the walls and BM Chantilly Lace on the trim/crown/doors/cabinets.

I started out with BM Winds Breath on the walls (similar to the BM Soft Chamois mentioned above), but found it too "tan" and "dark" for the look I wanted, so I repainted in the BM White Dove

@kandrewspa, you don't like Decorator's White with Linen White? It is one of the most stunning combinations in a room (assuming as always, the natural light has been taken into account).

BTW, I really dislike White Dove because, in the wrong light, it looks dirty.