Welcome Cookie
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On to your issue,
I'm not going to pass any kind of judgement on your boyfriend but I must say, unless he's injured or has some kind of disability that keeps him from being able to work, he should not be sitting at home or draining your resources. I know a few ladies who have been through this exact situation and it floors me that their mate can be so blind to the fact that it puts an incredible strain on the relationship. The fact that you have kid/kids does nothing to make the situation easier.
I've acted similar in one of my past relationships where I had little to no patience for my partner. In my case it was simply a matter of too much water under the bridge and now we're in a situation where we were staying together out of either convenience, or fear of being alone, I'm not sure which. This really was a sign of things to come and it was the reason break up became inevitable. I'm not saying this is what's happening in your particular situation but it's prolly a good idea to keep it in your mind somewhere.
My other thoughts were that it almost sounds as if there was circumstances between the two of you that sparked this behavior. If that's the case, it's prolly a good idea to examine what caused this kind of behavior and deal with the issue. To not do so will likely only result in greater frustration on your part IMHO.