Should I pull away or stay?

I have been dating a man for 2 months. We get along great, no arguments or anything.
He recently told me that he’s falling in love with me and that he’s getting attached to me. I like him but I don’t love him though. I asked him what makes him feel like this and and told me that he’s comfortable with me and
we have good chemistry. The problem that I have is that I don’t completly trust him. He’s been known to lie about things with with previous girlfriends so that bothers me. He does continues to talk and text his ex-girlfriends and states that he has a hard time burning bridges and claims that it’s difficult because they always try to get back with him. I expressed to him how I feel about this and he choses not to make any changes, so I’m at a stand still with moving forward with allowing my feelings to go any further with him. Should I pull away since he can’t part with the exes or should I try to work things out?