Do I have to clean my carpets when I move out?

Yes, per your lease your carpets are to be professionally cleaned BEFORE possession is given back to management.

Per Lease 1.5 Security Deposit and Admin Fee:

(j) Carpets are to be cleaned professionally. Resident agrees to send a copy of a receipt from the carpet service to All 3 Realty.  The service is to not exceed one month prior to moveout. Should service not be completed prior to move out, up to $300 fee will be deducted from the deposit for All 3 Realty to setup this service after the moveout.