I do like those fish!
The triggers will move your LR
, if not properly attached. It looks like those two might get along.
The two puffers can probably get along, but the spiny puffer will possibly nip at slower moving fish like the lionfish and possibly the triggers.
The loinfhis will eat anything it can swallow. If the others are smaller then him, they might be expensive snacks.
Are you planning on a sump, for a decent sized clean up crew? That will be a big bio-load, since they are pretty messy eaters.