A scooter is honestly the best way to cruise around Alanya, traffic gets crazy in summer. You can rent a scooter in Alanya through local shops or aggregators, one example is here
https://getrentacar.com/en-US/motorcycle-rental/turkey-alanya . Always wear a helmet, check the brakes before driving, and take photos of any scratches. Ask about deposit, some places hold your passport which is sketchy.