Need help buying new tires

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I'm going to be 100% honest and say I have never bought tires for a vehicle before and really have no idea what to look for. I'm 24 and have always had my parents do it before since I drove their vehicles, but when I bought my Yaris new in 2008 I knew I didn't have to worry about tires for awhile. It's been 2 years and we've put almost 32,000 miles on 3 of the tires (had a huge staple go through one a couple thousand miles ago so we had it replaced) and the tires appear to be getting fairly smooth. We drive a 2008 Yaris Sedan and I'm just wanting to get some advice before I go over to Discount Tire or someplace and check into getting 3 new tires.

We live in Florida so snow and all that stuff isn't much of a worry, but it does rain fairly often especially in the summer. Any advice is appreciated! We're looking to live in a city where most of our driving will be on city roads with occasional highway/interstate. Any advice is appreciated!