Think about what your business offers. Depending on what your business offers you can incorporate that into the name. Maybe you have a cupcake shop, and specialize only in cupcakes; then you could name it "Specialty Cupcakes" or "Cupcake Cuties", or something like that.
Take my boutique for instance, Dolls N Dumbbells. The "dolls" is the casual clothing of my boutique and the "dumbbells" is for the cute athletic wear (which is currently unavailable at the moment), but that's where the name came from in case you were curious.
Make sure you think very hard about your business name. Don't make it too complicated for people to misunderstand you or do any special spellings. You want your customers to be able to find you easily. If they can't spell your company name they won't be able to search and find you.
Don't just pick one name. Make a list of a few options and number them from favorite to least favorite. Be sure to search and see if the name is already taken. Sometimes just doing a general search will eliminate some of your options.
Once your business name is registered you're in the clear! Congratulations, nobody else can use your business name.