Welcome welcome welcome!! I commend you on taking in these greys! They will bring so much joy to your life !!
Check out the bird food room for info on what a good diet should be. There are some foods that are off limits, so just make sure you are aware of those. Basically it sounds like they aren't really getting any fruits and veggies right now which should be a large portion of their diet. Start introducing as many new fruits and veggies as possible to find out what they like. AG's are like humans, all their tastes are different . I keep pellets in Mak's cage all day and I give him a big bowl of fruits and veggies in the morning and at night.
Definitely keep them in your living room so they can become familiar with you guys and their surroundings. It may take many months before they can be handled, but give it time it will happen .
Lots of luck to you and feel free to ask us any questions. Congratulations!!!