Strip Clubs: I am NOT okay with my boyfriend going there!?!?!?

I have been with my boyfriend for 10 months, and i love him very much. He has not (to my knowledge) cheated on me, although he did cheat on his ex-girlfriend multiple times which makes me feel a little uneasy. I try very hard to be less insecure and to be okay with his 'bad boy' activities (drugs, smoking, drinking; a lot), as he keeps saying I should love him for who he is etc. I am struggling to decide where to draw the line with this 'easy-going' attitude though; last night my boyfriend, myself and a couple of others were at my boyfriend's friend's house. Suddenly my boyfriend starts bragging to his friends about going to a strip club 'obviously just for a drink and a chat *wink* *nudge*'. This made me feel hurt, and when I confronted him about it he tried to convince me it actually was just a drink and a chat, no apology either... I dropped it, but this morning we were talking and I mentioned it in ping, and he got insanely defensive, tried to make me feel bad; shouted at me said I was personally attacking him and all this. He then compared me to his crazy HORRIBLE ex-girlfriend, which he knew would get to me. I just sat there and took it-- waited for him to leave his room (we were at his house) and then I was very upset. I pulled myself together as his mum was giving us a lift to work but we haven't spoken since. What am i supposed to do? Should this be part of my easygoing facade or..? Please help me someone!!