I'm not sure if this post got through, I went off line in the middle. so, I'll try again. I love poodles, and bichons are also good pets. they're relatively small, and don't shed, which means that they will require grooming from time to time.
as far as names, I had a white toy poodle, and her name was "Maggie". I would be honoured if you would consider that name for your pup.
you can do google searches to see what breeds catch your interest, and remember, pet poodles don't wear show haircuts.