Also, when do triggered abilities go on the stack? Obviously after their trigger condition is met, but does the controller of the trigger have to "receive" priority?
Triggered abilities go on the stack just before a player would receive priority, but right after state based effects are checked.
For example, if you have a fecundity (whenever a creature goes to the gy, its controller draws a card) in play with a grizzly bear (2/2). Somebody shocks the bear. The shock resolves 2 damage is dealt to the bear.
Before the active player receives priority, SBE are checked and bear goes the graveyard, the trigger condition for fecundity is met. Then triggers are placed on the stack, then the active player receives priority.