Hi there and
to the forums!
Congratulations on your new budgies
Your boys are adorable and I'm glad that they're settling in well!
Ideally, you should let them settle in for two weeks without putting your hand in the cage at all so that they adjust to their environment well and feel safe in their environment.
I'm glad they're getting comfortable with you, however-- closing their eyes and relaxing is a great sign. Just take a step back and wait on the hand in the cage, and you're doing great! Keep on talking to them and spending plenty of time with them, next to their cage, and they'll settle in in no time
Also, you should remove the fuzzy tent from their cage. Budgies do not need nests or huts to sleep or keep warm, they have feathers for that. Additionally, it can make budgies want to nest (even males!) and get their hormones out of balance, as well as pose a danger to budgies if their toenails get stuck in the material or they chew and ingest it.
We'd love to see more of your boys when you get a chance!
Meanwhile, be sure to read through the forum's many Budgie Articles and "stickies" (threads "stuck" to the top of each subform for easy reference) to ensure you're up to date on all the best practices for budgie care!
If you have any questions after reading through everything, be sure to ask as we'd love to help