I don't know how long you were in, but they invited me to to the free home bible study--
I was carefully brought along and the little rural congregation that "courted" me were loving. I didn't see the hand-writing on the wall for a long, long time.
I too, have apologized from the bottom of my heart to my family. Seven (7!)children and my husband for 22 years of it.
Your kids have a chance to be free and make a life. You have had a lot of adult years blighted.
Just tell them your belief in god and the Bible made you suceptable. At least it did me.
All the best...My kids have forgiven me.
Maeve