Idk what to do

My bf and I have been together for almost a year now and we found out right after my birthday this year that we are expecting twins. As this is my first pregnancy you can all guess how excited and nervous I was/am, but for my SO I can't say the same. He acts as though just because he already has a son that these two are not as interesting and will not be as important to him as his firstborn. That is my first minor issue. The big problem comes in the form of a dating/chat app called Meet Me. I've caught him talking inappropriately with girls on there before and he deleted it and swore he wouldn't do it again. Now I find it on his phone again and this time it's pass code locked. Idk what to do....I've tried talking to him about it but he just laughs it off and says I'm being ridiculous. He claims he wants to be in this relationship but he stays up late at night talking to people on this app and it's making me wary. He has cheated on me once before not long after we first met so I already don't trust him. I do love him very much but I can't handle the stress of this especially at this delicate time. What should I do?