Congratulations on your new budgies
. Many parent raised wild budgies can be tamed with much time and patience, but not all of them will be into being handled, especially as they become mature. It really depends on each individual's personality. Regardless, it will take much time and patience. It is even harder to tame a budgie who is not a single pet. Very slow steps. First you need to be getting your birds used to the new surroundings and cage, without forcing your hands upon them right now. Talk softly to them, watch their body language closely and back off if they seem nervous. I know we as humans are often anxious to establish a bond, but from the bird's perspective, you are a giant species grabbing for them and that's scary. Once they are used to the place a little more, you can offer bits of millet spray from your hands and see if they will hop on, or show interest. Again, if they're nervous, back off.
If you have any concerns about the health of your birds, (and even without concerns) it is always a good idea to bring a new bird to an avian vet for a wellness check, and ask any questions you might have to the vet who can see your bird in person.
I also would not keep a nest in there. When your budgies become mature (it doesn't take long for them to grow up) it can cause hormonal and breeding issues that you as a novice pet owner don't need the complications of. I'd replace this nest with toys and a swing. Budgies love swings, and they love to play with toys!
If you have pics that would be great!
