I did the same thing for longer than I care to admit. I got out of bed every morning, went to work, cleaned the house, made dinner and got to bed as soon as I could. I had a listing of every support group within a 30 mile radius but didn't go for at least a year. I even drove to a couple but didn't go in! Eventually I got to the point that I could no longer hold it together. I signed up for SR, got a therapist for myself, and finally got the courage to walk into a meeting-- it's the best thing I ever did! Now I will not miss a meeting for anything.
I know how hard it can be, but give it a shot. I don't think you'll regret it!
Good for you for doing the right thing by your kids. I know it's hard but you're doing the right thing.