Alex, sorry to hear about your misfortune and I'm glad both you and the baby are OK.
Couple of things I've learned about the rear stand: (1) Use a removable tie wrap or big rubber band on the front brake lever to keep the bike from rolling when you lift the rear (2) Put 2x4 or 2X6, etc. under the kick stand so the bike is closer to vertical. Then stand on the right rear of the bike and slide the rear stand under the spools, while holding the passenger strap on the rear seat. Push down on the stand lever to raise the bike and keep the bike vertical with the passenger strap. Removal is the reverse, just make sure the kick stand is down and lined up with the 2X4... I always remove the tie wrap to allow the front brakes to release the pressure on the piston, after completing the jack up/down.
Good Luck
