So I have recently been trying to train all 3 of my birds. What I have been doing is sticking my hand in the cage with millet in my palm, and just holding my hand still. Skye, who I have been able to pick up from day one, immediately came over and started eating. Meadow and Paulie watched, but didn't come near me the first day. The second day (yesterday) Meadow came over and took one bite and left. Today she came over and ate until it was gone. Paulie watched, but still isn't coming near me.

So my question is this. Even though she ate out of my hand today, she still runs to the other end of the cage when I stick my hand in there. Am I doing the right thing, and will she eventually get tame, or is it a lost cause?

She will get tame, it is very brave of her to already eat out of your hand on only the second day.

It's all about patience and it's a big start that she's comfortable to eat from your hand. Winston still rarely steps up for us (but he steps up nightly for warm veggies so that counts for something!) and he's been home for about 5months now - but IMO he IS tame in that he wants to be near us, he flies to us and lands on us occasionally, and is totally comfortable being literally a nose-length away from him. Take it slow and you'll notice baby steps in building more and more trust.

I have had her since last October, but never really worked to tame her. She will not come near me, she flies away if I come near her.

I want to tame her (and hopefully Paulie one day, but he's even worse) because of what happened with the cat. The reason she got hurt was because she was trying to fly away from me. After she got out, I went over to try and put her back so she wouldn't get hurt, and she flew away and the cat got her. If she was tame and I could pick her up, she wouldn't be as likely to get in harms way. At least when Paulie flies away from me, he flies to the curtain rod, which is safe from the cats.

Skye is the only tame one, and since I have been trying to tame Meadow, he has gotten even closer to me, which I like. He is the third wheel a lot, so he needs me to be his friend, lol.

I suggest playing the Blinking Game with your birds, many (including myself) have had a lot of success with this - it helps to build trust.

You can read about it in this thread:

Taming and the Eye Method

So you keep a p'let with your budgies? I have two untame budgies and one untame p'let I have thought off and on of putting them all in the same cage but....
So how did you do that? Do they bully the P'let? Or does the p'let bully them? My P'let is a male too and I worry he is lonely since his female died. They are close enough to see each other and I times I swear they call to each other but other then that they show no interest.

Yes I keep them together. I used to have the budgies in one cage, and the p'let in another. Than one day, they were in a travel cage, and the divider fell out, and I left them together overnight, and they were fine. Previously I had let them out to play together, and Meadow and Paulie really seemed smitten with each other. Paulie had also lost his mate and seemed lonely. Paulie got a huge new cage for my birthday, so I just put them all in there and it's been 3 months and all is well.

Meadow does beat both boys up, but she used to beat Skye up before anways, she's just a bully, lol. Other than that, they have a few tiffs here and there, but no more than Meadow and Skye had without Paulie.

I would definitely suggest you let them be together outside their cages before you attempt to put them together so you can judge how they react to each other first. Good luck, and let us know what happens.

Hmmm letting them play together outside is not really an option. They are all flighted and none are tame and it would be a huge pain to try and catch them.
But I may catch the p'let and put him in the cage and watch them very close see what happens. Thats how I added the finch when his mate died and while no one loves him they don't bother him either.
If it works out Ill have to see about a bigger cage. Wish I had room for a flight cage but not until the cavies(guinea pigs) go away.

I think it's Cindy who has a P'let who's in love with a Budgie even tho she has a P'let mate.

Taming is very important for any pet - so they are safer in any situation. I think you will have to have some one-on-one sessions with your birds to get a bit closer to them. This requires orchestration so they don't feel they're being punished with isolation. I used natural moments to separate my guys - as Laker is ofter abandoning Rio so i will go to Rio when he's alone & strike up a conversation. Or in the morning before they are released. Now he comes over to beak me or hop on my shoulder.

I agree with the others - it takes a lot to time & hours of socialization - sometimes that doesn't work with our schedule. But when it does you will start tot see results.

Taming them inside the cage will reduce the chasing around the room part & the struggle to get them back in the cage. It sounds like they are going in that direction. Perhaps in a few weeks or even days the P'let will follow their lead. The more often they hop onto you & hop off the better. Use the same words every time so when they hear them later they have a chance at responding in the way you hope. When Laker was first out of the cage - some days it was very frustrating [very] to get him back in when i had to leave. The mirror helped some days - he'd follow it into a black hole i'm convinced.
note his fascination:

Another way to get them to return to their cage is take the food away when they're out & make a show of returning it - even a sprig or 3 of millet as well.