it's perfectly normal for a budgie that can hear other birds get excited about it and also for any new bird (solo or not) to also be very agitated and run up and down a lot in a new home.
So don't fret about causing any damage to the little man. Try and stay relaxed so he doesn't pick up any stressed vibes from you. And just remember to take it slowly.
I would simply follow the steps to bond with him as you would with any other bird. He's still settling down and will eventually calm down.
In the meantime, perhaps have a look at some foraging toys you can make for him to distract him for a while.