One of the biggest recommendations on this forum is regarding breeding and unfortunately I can see your new set up does include a nest box. I think as a self confessed newbie, breeding should not be on your agenda right now.
Your lovely birds are still settling in to their new homes and new surroundings.
It would be great if you allowed them to settle into their new home and you got to know their personalities a little. While you get to know them, you would need to research budgie breeding.
There's more to breeding than just having a male & female and putting in a nest box.
For now, I would remove the nest box.
I'm not saying you can't breed your birds but I think you would be better off waiting a while longer and really learning more about budgies. At the very least, you'd want them to be on a diet suitable for breeding budgies before you even started them.
It also looks like you can't even access that nest box from outside the cage. Is that correct?
I got my first bird in 2015 and waited two whole years before breeding. I felt so much better prepared for it by waiting. You don't have to wait two years but I think it would be a little careless to not wait until next year. Surely there's no big rush, right?
Are you planning on letting your birds have supervised out of cage time in a bird safe room?
The cage they're in is quite small and there's no way they can flap around a little while inside it. You would need to get a bigger cage for them ideally. And if you did breed babies, where would they go? There's no real way more birds could live in this cage.
The dowel perches should be replaced with natural bird safe wooden perches to exercise their feet better and prevent bumblefoot.
They could also do with some toys they can destroy. That would be more fun for them.
Did you do any research before you got your birds or start afterwards? You mentioned following the forums recommendations so I hope that will follow these.
As these birds came from your Uncle, I assume he knows a bit about budgies and breeds them too? Which is great but it doesn't mean you have to do it straight away.
You may also find that there's a lot more information that you can learn now that he doesn't know. My Dad bred budgies and other birds for years but he doesn't know about a lot of the newer best practices for them. So as I got my first bird I set things up with what he told me, only to realise afterwards that these ideas he had weren't correct and could be damaging to my birds.
like I said, I am not trying to put you off breeding your birds. I just think you don't need to breed them right now.