Inverts no other than just getting rinsed before going in tank. As far as corals that's a little more tricky and requires a lot of extra gear to be able to do a full quarantine for the months necessary to ensure no AEFW eggs.
For frags I generally just dip and inspect for AEFW eggs. A little more security when coming from a reliable known source. Wild colonies and maricultures are a different story. Chances of eggs are high and both should really be quarantined. Myself I don't have the facilities for that so I generally avoid fresh wild colonies. For maricultures they get the same treatment as frags and it is always a good idea to remove the coral from it's base and toss the base. Not a perfect method but so far so good.