Salam sister, I respect your courage to seek advice before over reacting, a good Muslim wife stands by her man in poor ness and wealth, in sickness and health, in all situations good or bad. Many would often argue with me when I raise my opinion out loud, but I'm the type of sister that likes to keep the peace even in the most tragic situations. So if I were married, and my husband cheated on me, I would start with solving my issues first, maybe I neglected him? Maybe I was not making him happy ect. So sit down sister and seek in side yourself, no man would cheat if he were happy, comfortable at home. Also now that you know his cheating, don't tell him, cause you will only make it easy for him to do it infant of you or just leave you. Only you will lose sister, a man never loses. do you duties without delay, smile, dress up beautifully, keep our house clean, abbey him, respect him,honour him, love him, do that sister, and he will repent and return home to u and your babies. May Allah give you patience and strength ameen... Salam... Email me if you wanna chat.
I'm sorry to tell you this, but I believe he is not gonna change his nasty habit. I think you should talk with him and say that you will divorce him, if he keeps acting so disrespectful to you. I think you are better without him if he keeps doing it. It is a sign he doesn't love you.