PGS race boards are generally 180-185cm long, and if you want to be somewhat seriously competitive, metal construction. The major leaguers are using $1500 Kesslers, etc, but you can get started racing with less. Look for a used Coiler, Prior, Donek, F2, Nidecker or buy new if you can. For race bindings look for used F2, or used Bomber TD2 with suspension kit or TD3 with soft e-ring.
If you're more interested in learning to freecarve before you start racing, you could start with a shorter board.
Welcome and good luck!