Normal betta behavior?

Yesterday I bought a betta fish from Walmart (I know, not the best place to buy a pet from). It's not the first betta fish I have owned, but it is the first betta I have bothered to do research about. He won't eat, but I've read that's common with new fish. What I want to know is, do they swim around a lot, or do they typically stay in one place for a while? Anything else you could give to a first-time serious bettta owner would be appreciated. Thank you.