With 7 birds, and only 3 tame, I kind of vary what I do depending on whom I'm interacting with.
I enjoy sitting in the room and allowing the birds out of their cages to fly about the room or just move from cage to cage. The conures don't get along with each other, let alone the other birds, so some caution does have to be taken here.
As for the conures, I'll take them out of the room to interact with them, too. I'll watch TV with them, do something on the computer, have them flying around the house after me getting exercise, etc. Currently don't have a stand or gym for them to hang out on outside of their room (tried to win one this weekend! But I wasn't the lucky winner), so they tend to spend a lot of time *on* me or inches away from me.