Hi Alyssa, it's so obvious that you care a lot about your new birds and you're trying to do all the right things for them.
I might do things a little differently here but I'll give you my rundown. I have 5 cockatiels now, and 2 of my parrotlets were allowed to roam free at their first home - they went to the rescue as part of a flock of 40 I think, then I adopted the 2. Here's a little info about both.
Mine have to be in cages, because even if you plan to have them cage-free there's going to be some point where you want them in a cage for their own safety. So - the parrotlet pair went into a cage. I put it in the farthest back corner of the bird room. They were still scared, very scared. They would slam themselves back and forth on the cage bars.... which made many people tell me to clip them. I do not clip. I didn't clip them. They're still really timid. I just let them be. However if you do decide to clip, be sure it's done properly and only a very few flight feathers. you want to limit them, not disable them.
With cockatiels, I think they tend to be more people oriented. They need to feel safe/comfortable at your house so if you can put the cage against a wall or better yet in a corner. If you can't do that, cover the back and maybe even sides of the cage for awhile. This is a temporary thing to make them feel safe. Sit and talk to them (don't stare in their eyes like a predator), read aloud (I read the forum to them, complete with sound effects and comments.
), or just "do stuff" letting them watch and get to know you. Play music and dance. Act silly. Invite them to join you.Do things they can imitate, like click your tongue and bob your head.
Then you can put a perch on the outside of the cage. They won't use it right away, because what you're going to do is become Treat Lady. Give a great treat by just walking by and dropping it in their dish. Do this 6-8 times a day. Take some millet, I cut off about 1-2", and hold it up against the cage bars. Invite them to eat it. This is a time when t hey can learn their names "Hi Baby, come and eat.... Baby do you want a treat?" etc.
After they learn to eat it like that, you can start holding it inside the cage on your hand. When you start this, don't stop and do it OFTEN. They'll freak out but eventually they won't.
Once that is easy, you can open their door and invite them to step onto the outside perch. Sort of lure them with the millet.
All of this will take 2 months, not 2 days. Or even more depending on ... lots of factors.