I usually help friends and collegues in finding a name for their business, as I enjoy the process and I'm quite inventive.
Since I know them and their taste, among several options I manage to guess a good one that they like and end up using
All this babbling just to say that is kind of difficult to find something suitable for a person you don't know but if you want I can try give you a few hints that maybe can set your mind on a decision (if you haven't find a solution already!).
Do you like acronyms or do you rather prefer an original name that has nothing to do with your real one?
Is there a word, a concept that belongs to you, that you like a lot or something like that? (like for example... "Chroma Nails", chroma refers to the meaning of "purity of colours" might be nice for a nail artist).
Or maybe something that doesn't leave room for misunderstanding like "Leane's Nails and Tan Services", LN&Ts for short would make an interesting logo with a nice font).
These are just two silly examples, very generic but if you would like to "drop me a bone here" I could come up with something a bit more sopisticated
I just like to help.