Hi Emma Welcome to Binky Bunny, and congratulations on your little one. Have you and the kiddos decided on a name yet? Your kids sound so patient, waiting for their new bunny friend to come out and play, which is awesome.
I think it’s best to allow your new bunny to adjust to his new environment and like you’re doing, continuing to allow him to explore. A lot of us on the forum suggest sitting on the floor (reading, phone time), and allowing your bunny to approach you when he’s ready. Bunnies are curious, so they eventually get around to checking us out! You can also hand feed his breakfast or dinner pellets (or greens when his stomach can handle them), and that will get him used to being around you and the kids so he will feel safe and confident that he’s not going to be hoisted off the ground (bunnies typically don’t enjoy being picked up and like to keep their feet on the ground). Picking him up when you need to move him to another room or to the Vets is fine (just support his bum when you do). Yes, I would suggest moving him to a part of the house where he can see and interact with people regularly, but not where it’s constantly noisy. “Floor time” is the best kind of interaction you can have with a bunny. They like their ears stroked, and some like gentle cheek rubs. When they are content, you will hear a gentle chatter of teeth (loud crunch indicates pain and needs the vet). It’s really all about building trust with the bunny. It takes time but is so worth it. All the best!

Ralph is such a cute name for a little bunny. Would love to see pics! Busy area is not a bad thing. I think the area you currently have him in sounds good. I like exercise pens because they allow you to create as little or as much portable living or exercise space as you like. I house my bunnies in two connected Xpens with a tarp for flooring so they don’t chew the carpet and any wires, or my baseboards!
It’s a lot of fun to watch bunnies binky (the bunny dance of joy) or race track around the house. You’ll find bunnies like doing that more on carpet than tile. Also, bunnies are so distracting! It’s hard to get any work done because you’re always tempted to say hello or observe them when walking by. I’m sure lil Ralphie will set the pace. Don’t be surprised if he starts bossing you around

You’re welcome Hehe, “Breakfast Feeder” (too cute).

Have you established care with a good exotics vet in your area? I would do that first, so your vet can tell you if the testicles are descended and all that, which happen around Ralphies age. I remember reading that concerns about desexing young applies more to Does than to Bucks. I think vets wait around the 6 month mark for girls but boys can be desexed earlier.

Hi! Can’t wait to see the little guy .