Welcome, and good for you for taking care of yourself and your children.
I can relate to the guilt feeling, the feeling of kicking him to the curb. I felt that for the longest time, until somehow it clicked for me (know how you can hear the same thing 500 times and the 501st all of a sudden you "hear it" for the first time?) that I had an absolute right to take care of myself and my children...
As for the "how do you do everything as a single mom?" issue -- I don't know how other people do it, but I know how I do it: I lower my standards. Right now, my house is a mess (just got back from camping so there's sleeping bags hanging everywhere and clothes -- some washed, some not -- drying over all the chairs)
and that's OK. I deal with it little by little, and so what if everything isn't always perfect and there are nights we have oatmeal for dinner because I haven't had the time & energy to run to the store?
Give yourself a lot of grace. Forget about being perfect. And take care of yourself.
