I just "upgraded" my old bike from cages to clips...and the very first day I fell, in my own yard, lol...the next day I went ridign, and fell again..both times to the right. When I had my cages, i always left my left foot in and just took out my right, so my habit is to lean to the right when stopping or dismounting, but silly me can't unclip my right foot for the life of me, lol...anyway, i am getting it know after some embarassing moments, but i have found it is easier to unclip just one foot and then bring that foot to the ground when stopping or dismounting...
I'm glad to hear you didn't hurt anything when you fell - that is always my big fear..i'm such a wimp when it comes to scrapes and bruises...
HUGS