I’m trying to get my law firm some hits online, so I purchased some domain names, I have questions?

The names I bought are things like attorneychico.com and I want my site to come up wit someone enters the search words attorney then Chico our location. My competitors have the name chicoattorney.com. If someone enters the name in the order I’ve set up will my site come up or does that have to do with advertising and adwords, I’m curious how to get to the top of the list. For instance if I owned science.com and someone typed in Science as a search word would my site come up or would some other site who pays more come up.