OK, so I've ridden three more times, and had a two 1/2 hour lesson, and haven't fallen again. Maybe I've climbed the mountain and come down safely (!) on the other side. -g-
As he gets more balanced, and I get used to my new seat, I think we'll be fine. New tack store opening near us next week. I'm going to get myself some side reins and see if we can't work on his balance that way, as well. I think his tendency to go counter -- hey, he's an OTTB ... sometimes he's only GOT one direction -- can be improved. And our balance will be better altogether.
Do you all use side reins a lot?