There may also be property tax for the amount already paid by the seller. For example, let's say that property tax on the home is $2,000 a year and it's paid semiannually--January 1 and July 1. So the seller paid $1,000 on July 1. You buy the property and close on it on August 1. You'll have to repay the seller the prorated portion of the tax--for the months of August-December that he's already paid for. In this example, it'd be $834 (5/6 of $1,000).
For your own protection, you may want title insurance. And then there's the cost of the title attorney.
Hope that helps.