I'm apologizing for my English, it's not my native language and therefore not the best!
I've done teamgym for the last three years (before I did WAG) and I love it! I miss the beam very much though, but trampette, floor and tumbling (the three events in temagym) is really fun to! Also, since teamgym is pretty huge here in Sweden and the rest of Scandinavia while AG is a very small sport, there's a lot more meets to participate in, even if you're not an elite. When I did WAG, there was almost no competitions unless you were on a high level (for your age).
In both tumbling and trampette, the team has three "turns". The first turn, everyone has to do the same tumbling/vaulting/flip-series (if not - huuuge deduction), and in the tumbling event, at least one turn have to consist of only front tumbling series and one with only backward tumbling series. In the floor event, all of the team compete at once. It's a 2,5-3 minutes long synchronized dance, consisting of leaps and jumps, balance elements, strength elements, pirouettes, and acrobatic elements.
Here's a video of Höganäs, the team that won the gold medal (in women's competition) in the Swedish championship last year. Trampette starting at 0:10, floor at 3:10 and tumbling at 6:40.
One of Swedens best male teams, Brommagymnasterna, in the Nordic championships: