Buying new Civic. What should I look out for?

Im going to sell my 96 Civic and buy either a new or barely used Civic coupe. I'll probably put $6,000 down not including whatever I can get for my old car. What kind of things should I be careful of when at the dealership? I dont want to be ripped off. Ive heard about them trying to give someone a higher payment because they put a large amount down. Thanks.