Body Glide is not nearly as important for taking it off as it is for preventing rashes on your neck. (put it on your neck or you will be sorry) Don't take it to the pool, you will destroy it, try to take it to some open water around you. Unless there is more than a quarter mile run from the water to transition, like Alcatraz, pull it to your hips and run until you get to T1, then take it all the way off.
Besides that, your small tub does not sound like the best of ideas because usually there is a kiddie pool to splash off your feet, and even if it is not just a towel should be sufficient. If you are planning on running with socks, you might want to put them on in T1.