I'm far from an expert, but in my opinion the triggers are okay. Some people say they're horrible but those people are probably comparing it to a trigger group that costs more than the entire Handi Rifle does.
The trigger are not externally adjustable, but with some smithing work it can be done. Maybe I have strong hands, but I personally think the trigger is fine at ~5# or whatever it's at.
Disassembly is easy. Unscrew the forend screw, pull the foreend off, open the action and the barrel separates from the receiver. I went all ghetto on mine and picked up a machine screw and wing nut from Home Depot so that I don't need to use a screwdriver to take it apart.
I can't really comment on accuracy because I suck. Don't really have enough trigger time to say one way or another.