If you're an intermediate player, you will be able to rally with moderate power and consistency, and you now have a good all-around game. You'll want racquets that can provide some additional power to your own without sacrificing control. You have experience playing matches and have developed the ability to put together points. You'll want a racquet that'll magnify the part of your game that is your weapon, whether it be a big forehand or serve.
As a guide weight-wise you should be looking at something under 300 grams unless you're a stronger or heavier build in which case you could probably get up to around 315 grams.