No rules, all personal choice. We have a similar-but-not situation in our kitchen right now---we actually did match our cabinets to the trim in the kitchen and throughout the house (the trim and ceilings in an old house with lots of built-ins were painted Acadia White by the old owner). So rather than try to find a different white, we just had the cabinets done in Acadia White too. But...our trim and doors are all in oil-based paint, and that's no longer available where we live, so the cabs and new trim are all in water-based, which doesn't yellow like oil-based does. In our kitchen, that meant our doors and windows were one shade and our cabinets and trim (which we replaced) were another shade. Though it's all officially the same color, the old paint is much creamier/yellower than the new paint, which is much whiter---probably similar to the effect you'd have. It did bug me in the beginning, but now I'm actually used to it and it looks normal. (We're eventually replacing the doors so didn't bother repainting them; the windows will stay mismatched since they're a PITA to repaint and current paint job is in good condition.) I think the key is consistency, though, as palimpsest said. As long as all the trim is the same color and all the cabinets are the same color, it's less critical that it be exactly the same color, I think---though personally I do prefer when it is.

Some whites and creams go beautifully together. Some combinations just look dirty and muddy - this I know from a disappointing experience in my bedroom! Our kitchen cabs are creamy, and we painted the whole room, except the ceiling to match, including doors in the room, trim, walls, windows and had blinds made to match. Like you, I was worried about the rest of the house trim and doors, which is white. But it's absolutely no problem at all. It doesn't look weird, liked I feared it might. Maybe it's because the whole room is basically the same colour. If you do a search, I think you'll find old threads on this subject.

Thanks everybody for your input. The shaker cabinets are new -- so that's why I hesitate to paint them. True, the lighting in the kitchen isn't that great -- so perhaps it would be difficult for people to notice the difference. I would love, however, to change the hardware. Currently they are the tubular pulls which seem too contemporary for this pre-war apartment. I know I may have to paint the cabinets depending on the new hardware I select. If I can fill in the holes with wood filler and have it paint so it would be seamless, I'd leave it as it is. But not sure if that will happen. If I end up having to paint the cabinets, I figure might as well paint them the same color as the trim/moldings. Decorators White looks good in all of the rooms (with the exception of the master bedroom where colors are more muted) because the furniture tends to run on the fresh clean side.

Stick with the Decorator’s white for trim through out the house. Also, if you are doing ceilings, used Decorator’s White in flat finish for them Here is a picture of how it will look…gorgeous! https://www.houzz.com/photos/query/ben-moore-gray-owl/nqrwns