I think most of the safety issues are covered here. Now for a sanity list - this is from personal experience - when these things happened, the thought of roasted cockatoo/macaw flitted across my mind for a instant (j/k but still...):
Store all breakable items that you're attached to. This is much easier than you bird knocking it off a shelf, chewing it to peices or pooping on it.
See about getting some sort of plastic covering/protector for your cupboard/cabinet doors and edges, entertainment center edges, top of TV, etc. If there's enough room for their little feet to hold on to, they'll perch there.
Potty train or you're going to spend a lot of time wiping up poop...from everywhere.
Think about slipcovers or some sort of cover for the back of your furniture. Seams in fabric are incredibly intersting and with just a little work, those beaks can open them up or tear a hole in upholstery.
PUT REMOTE CONTROLS AWAY! Buttons are soooooooooo much fun.
Check your home for anything toxic daily. Not a top-to-bottom inspection, but a quick once-over. It's amazing how easy it is to leave that pencil on the table.
Have things available and close by that your parrot is allowed to chew on. It sucks telling them no all the time. You both get tired of it.
All that said, it kind of becomes second nature - like having a baby around. I can't imagine leaving our birds in their cages if we're home, so we do our best to make it safe and happy for them.