How about Scott's Chicken and Computer Repair?
All jokes aside, RituallyPure has a good point. You don't HAVE to have a business name now, I'd just get some cards with my name on it printed up to tide me over until I could think of a catchy name. You are on the right track, you need to come up with something catchy, something people will remember, like it or not.
I work for a plumbing company in the bay area, and with all of the billions of something-rooter company names in the area I work in, my boss did good to come up with the name he did for our company. Sewer Rat Plumbing. Some people like the name, some people hate it, but they all remember it without looking in the phone book.