Welcome to ___________!

I've been thinking about names for when I want to start up my own business or whatever. Been thinking about having something to do with the words 'fox', 'creations', 'painted', 'creative'.... My boyfriend has come up with some other names as well, there is one that I'm really liking, but I'll sleep on it and see if anything else pops up. How do people come up with their business names? I'm open to even doing a play on words kind of name too, I like when people are clever.