Even having adopted my beardeds from different people (All who kept beardeds themselves) I was never asked Q's, however I can understand your worry.
Possibly ask What experience with reptiles have they had?
Will it be a pet? (be handled often, etc.)
Or a pampered display animal? (Cared for, spared from stress)
Though often times beardeds can be both, however if yours are older or recovered from such as MBD, it may be wise to give it to an experienced person who knows what they are doing or can get much help (Part of a society perhaps?) Will handle it occasionally to give the things some love but nothing strenuous.
Obviously, they're your dragons and know what they can handle..
It really is too bad you're giving them up, but if you need the space, heh.
I'm curious though, where are you located?
Good luck!
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2.4.1 Leos
1.1.13(eggs) Beardie
1.0 Burm
0.1 Common Boa
1.0 Bp (Turns out, it's a 2nd burmese)