When using a drain bag, instead of opening up the clip to drain the bag, we had a set of kitchen scissors set aside to cut open the bag and dumped it into the bathtub. Was so much faster!
Use lots of tape on the connection. Little fingers are good at getting it off. Put enough on there that you have enough time to get into the room before they get to the bottom layer!
A button hole in the blanket sleepers makes a great place to thread out the dialysis catheter.