Product manager for dating sites

We need a product manager for 4 dating websites. Freelancer will have to check the funnel and estimate what should be changed to increase the number of purchases. We have a lot of registrations and much less purchases. We need a freelancer to check our funnell, they should have special web tools to provide us with statistics and then give recommendations what to change to make a client interested to buy. After necessary changes are done we'll need to discuss the results of their work.
Freelancer should specialise on product management, it has to be their main job. We consider experts who have good reviews on product management on upwork. To have job experience in product management in dating is preferably but not compulsory.
The budget is nominal and going to be discussed with freelancer.