Well you could be creative, or you could do what I did and use your name.
I am B.C. Gecko B for brandy C for Chad (my husband). real creative Huh?
So yeah... I'm no help!
First you want to make sure that your name you chose is not taken. Then also make sure that the domain for that name, should you decide to make a website, is also not taken also.
I picked Leopard Gecko Breeder. Original huh? No not really, but my rankings in search engines are high due to the name being keywords in most searches for guess what, you got it Leopard Gecko Breeders. I played this name game with my primary business the Balloon Boutique. When someone calls 411 in my area and ask for a Balloon business my business is the first to come up.