Hello there Niizzy!
Welcome to City,
to quickly answer some of your questions
Blueside is Heroes, Redside is Villains, than there are co-op zones where both sides can go and team up.
Also if your Character is a Vigilante or Rogue they can go to both blue and red side to team up, although Vigilantes act as Heroes for badges and other things, and Rogues for Villains.
DFB stands for Death from Bellow which is a popular TF (Task Force) for leveling Characters, note also on Redside (Villians) they are called SF, or Strike Forces
For more info on them I would suggest a visit to the Wiki
https://paragonwiki.com/wiki/Task_Force.
LFT stand for looking for Team, and as to how to ask, I would broadcast on the Looking for Group channel, and let people know what level your missions are at and what they are.
Yes you can end up taking all the powers from your Primary and Secondary, and have some left over for Pool, or Epic/Patron Pool powers.
I hope this helps!
Good Hunting
The Vortex Master