Although the only tire requirements are safety-focused, some tires will work better than others. There are a variety of good options for autocross tires on the market. For beginning drivers, a quality set of performance road tires are recommended. You may want to opt to have these mounted on a separate set of wheels for autocross use only. This will keep you from wearing out your daily tires autocrossing or your autocross tires commuting to work. There are also extreme high performance, or "R-Compound" tires on the market that can provide the maximum grip, though their life expectancy is significantly less than that of a performance road tire and it will affect what category your car is classed in. If you're still not sure, talk with experience individuals at events or speak with a representative The Tire Rack.