Since I'm a newby here, I don't know if this has been covered already but I thought this might be a place that we can learn those little hints from each other and possibly make life a bit easier in the caretaking realm.
The most recent item that I have found helpful to have with me all the time is a doorstop. After one very frustrating visit to a dr when no one, either staff or patients and their companions, did not offer to open or hold open the doors I struggled with while trying to get my mom's wheelchair thru the door, I happened to think of the doorstop; now I don't make any trips with my mom without a one.
We use a transfer shower/tub bench and I find it cuts down on water getting onto the floor to use two shower curtains which I pull together thru the slit in the bench and fasten with a clothespin. I also put a towel on the side of the tub to absorb any water that leaks thru the bench along with the ones on the floor beside the tub.