Like everyone else has said here you won't loose your skills in a month or so. I wouldn't try practicing gymnastic skills while your out, but rather focus on the conditioning, flexability type of skills that can be done without special equipment. A simple chinup bar at home a mat on the floor and lots of chinups, situps, V up, push ups and anything else you can think of that is an exercise that your old gym did for conditioning. With a tramp there is lots of jumping for you to do.
At home my DD uses the Wii program called "Your Shape" to help her increase felxability. It realy is a great program if you have the Wii. It has a little camera lens that constantly scans you to make sure your not going too fast or too slow. It adjusts to your ability level and you can choose from several focusus you want to work on. I use it and my focus is weight loss and working on my core. You enter some basic info on your self like your current activity level, weight and age, it scans you for your height, and body shape and then develops a program for you that will change as you improve. When I started it was 15 min every day (m - F) That I could do now 25 lbs lighter and feeling more energetic the program as evolved to 3 times a week for 45 min each session. If they had started me with that I would have quit. My DD as I said has her focus on Flexability. You don't need any equipment but if you have hand weights (1 or 2 lb weights), an exercise step and one of those big balls used in exercise they can add one or all of those into the work out too.
According to the package it has ove 400+ exercises that can focus on Cardio, strenght training, toning, flexibility, core trainnig, weight loss and more. Ok I guess that is enough of the comercial LOL. But it really is a great program to keep fit.