Caught him sexting

Bf and I have been together 2 years now. Back in April I caught him sexting on snapchat with girls from a porn website. I nearly broke up with him. After several months we are building trust again. Now I find out that he has been going through the blocked snap chat usernames and removing them from blocked to be chatted with then added back on. We just bought a house together moving in at the end of the month. Everything in our apt is 50/50. How about do I go to talk to him about it.

I don't know what I want. A break up or separation. I am heart broken that this has happened again. The fact that its happened more than once is a problem.

I have screenshots to prove.