Need to vent , boyfriend lied

I have been having suspicions that my boyfriend cheated before but don’t have any proof , just a feeling . So about 2 weeks ago I went through his phone and went through his contacts and the ones I don’t know I looked up on cash app (I know 😩) he had a number under “moms sister” I looked it up and it was a female that certainly wasn’t his moms sister . The number showed the girls full name so I looked it up on Facebook and in her Facebook bio it says she live in the same city as my bf so I know this isn’t a mistake. I woke him up and asked about it . He said he was talking to her boyfriend and her boyfriend gave him that number he didn’t know it was the girls number . Mind you he ALWAYS put people contact name under random stuff , never there names . I’m not sure why. So he went to the kitchen and called the number . He hung up and said “yeah that is my moms sister she gave me her number a long time ago “ I pulled up her Fb showed him and he stayed with the same story about her boyfriend gave him the number and he didn’t know it was her number . I let it go .. a couple days ago I asked again and he stayed with the same story . Last night I was thinking about it and I just wasn’t going for it so I inboxed her on Facebook . I was being very respectful and she told me that my boyfriends little brother talks to her little sister. My boyfriend asked for her number and she gave it to him. They was texting and he said he wanted to get to know her . He told her he had a girlfriend and she stopped replying because of that. I called and ask him why he lied and he wasn’t answering me he kept saying “what did she tell you? Why are you looking for stuff” he most likely thought I was making stuff up to try to trick him into telling the truth . I’m just thinking like damn I asked you 3 times and you lied in my face all 3 times . He been accusing me of cheating and talking to people and whole time he is . He literally don’t like my friend and my sister because he THINKS they be trying to put me on other people (when they don’t at all) but he turns around and put himself on through his brother? So I have every right not to like his little brother anymore right ? 9/10 his brothers best friend probably knows about this and his mom on top of his brother setting it up . I’m embarrassed & hurt . He kept lying and was going to KEEP lying if I didn’t find out on my own and have proof . I’m fed up , I’ve been miserable with him for a couple months . I come to him with problems I want fixed and he doesn’t fix them at all then turns around and tells me I complain too much and I’m miserable (of course I’m miserable you don’t fix anything so the problem lingers ) he’s a liar , he accuses me of doing stuff when I’m not . He’s just toxic .. I want to be done and I been saying I’m don’t then end up letting him back in but I need to put my foot down this time . We have 2 kids together so if anyone can give me advice on what I should do . Or how I can “be done” I can’t just block him on everything and do the whole no contact thing because we have kids . So I guess it’s just a kind of matter thing where I have to be strong