There is a very cute feral cat in our old home (its next to our new one). Almost 2 weeks ago, I started feeding it everyday. In the last few days, it started to rub me and even allowed me to pet here.

What I noticed:

 - Purring.
 - When I try to pet gently, its turn his head very quickly and sometimes raises his hand (I got a very little scratch :D).
 - No hissing, it follows me everywhere.

My question is: 
Since the cat is allowing me to pet him. Is there a way that I can attract it to live/sleep in a better place? Also, how can I estimate it's age? I want to get some blankets for it but not sure how to let him understand that.

By the way, I'm 100% sure this is a feral cat, since in my community people don't care about pets that much.

[![Cat teeth][1]][1]

Thanks,


  [1]: https://i.sstatic.net/NgysB.jpg