You have a right to leave your relationship if you feel your husband's habitual cheating is too much to overcome in terms of moving past it. But it is not wise to start anything else with any other man while still in this marriage. Rarely do relationships that start this way last anyway because A. infidelity is something that the new man now knows you are capable of and he deep down will always have distrust in you. B. He's the kind of man that is with a married man that speaks to character issues.
Loving someone knew that you have limited true experience with (like spending lots of time together) when you are vulnerable because you are hurt and angry about a cheating husband is really not realistic. Ugh, I'm sure you hate to hear that. But it's fantasy.
You should figure out what kind of work you will do as a single mom (please have no expectation of picking up from one house and moving to another seemlessly ). Explore what kinds of jobs you can get right now or if you will need college or job training. Get that plan together. Moving to your parents would make sense. NOT to the other man's if he is offering.
You need time on your own to sort things out. Straight to another man, again, rarely works out. But you don't have to stay married either to someone you can't trust or don't want to be with anymore. But this means reshaping your life and how you do things. good luck
Hard to say. Why is your husband doing this? How was his childhood? Start asking questions. Tell him to get help. This is not normal. Try to save your marriage. You're in control now. Remember this. YOU are in control now. And if you really want to leave: don't do anything stupid. Don't leave without planning ahead. How old are the kids? Get a job. Get an income. Start saving in case you really have to, or want to, leave...