A few cheats I've found to help your bird become tame sooner is during taming session: Only do one on one sessions with a bird (being around others can affect it's attention).
Do not make the session too long in the beginning or the bird will just get upset and stressed.
Move the bird into a small unclutered room away from their cage (otherwise the bird is only focused on getting to their cage).
Sit on the floor so you look smaller and less dangerous, leave a food bowl near you with it's fav treat and let it come closer.
If you feel more adventureous, buy a hand held rope perch (these are amazing!) and push it gently towards your bird until it steps up. You can then either walk around rooms with the bird on the rope or attempt to put the bird from the rope to your shoulder (cover your ears with your hair or a hat at first, incase it attempts to bite).
What I found after ages of trial and error is that just taming one bird can be enough (the others will then follow suit).
I found this by concentrating on working one on one with Cain
I then put my other senegal Hide in the room I'd trained Cain in, he shook and attempted to get as far away from me as possible, I let him and fetched Cain, I put Cain on the floor next to me and Hide stopped shaking, bewildered that Cain would sit so close to me. I put my arm out and Cain stepped up and climbed up to my shoulder. Hide stared, I held my arm out to him and he tentively climbed onto my arm as well before going to my shoulder to sit with his best friend (Cain).
If you're finding taming them all at the same time difficult, just look for the tamest, work one on one with that bird for a while and then show the others what you've learnt, you never know, you could end up with the same 'if they can do it so can I' response that I got from Hide.





