I only have 2 budgies here. One guy, Tiki, that i've had for 2 years, and 1 new little boy we bought two weeks ago, Tundra, who's taming is coming along nicely.
My vet a while ago had told me sometimes it's best to have them in more manageable numbers. Perhaps putting two to a cage (so 2 in one room and then two in another room) could be a more manageable number to train. I have gotten a new guy recently, and I do not plan to even introduce him to my other one until possibly 3 months + down the road (his quarantine + after he's fully bonded). My vet (who is the best avian vet in our area and wonderful man) had recommended this in order to gain the trust of the 2nd one.
But like others said whether in the end or not they bond just love and appreciate them and enjoy watching them in all their kooky splendor. But if you want to bond, lower numbers is perhaps better.
And [I]take it slow[I]. I've had Tundra for almost 2 weeks and only now will he let me put my hand next to him. First week was just sitting by his cage singing to him and gently talking to him. Then a few days ago i put my hand in. If he looks agitated I leave my hand still and don't move it UNTIL he calms down. Then when calm i take it bake out and praise him. Always want to end your training on a high note.
After few more days of this once he's calm when my hand is present i move a bit closer. If he gets agitated then I know he is telling me his comfort zone and what distance he wants me at. I listen and leave it there. Only when comfortable with that distance do I progress more, maybe at that taming session or the next one later in the day.
Now today finally he is letting me come all the way up to him with my finger and placing my index finger gently on his toe. And he even put one little foot on my finger. This has taken two weeks of constant, at his pace, training. Every bird is different though. Tiki (our two year old) when we got him at 4 months took three months
to tame. So be patient and persistant and it'll pay off.