I lived in a new build with a very similar layout to the one you posted. Only difference was it had an ensuite (why they felt ppl wanted three toilets in a two bed property...!)
We loved it when it was just me and hubby. Spare room was computer/study so we had two rooms to chill in.
Then baby no 1 arrived and spare room was hers. Felt really crap when DH had friends over and I had work to do so I was sat on our bed typing work reports. However kitchen too small for seating and lounge too noisy.
Then DC2 arrived. She was in our room, DD1 of course in hers and I had nowhere but the lounge to sit and type. Plus if DH and I had annoyed each other we were still stuck in one room together.
We managed to sell literally just before DC3 arrived else I'm honestly.not sure we'd still be together!
If you are allergic to relationships and children and don't want to sell for at least a decade (new builds tend to take around that to build any value over purchase price) then I'd say new build is the way forward.
Ours was definitely not noisy...the walls were thicker than the victorian terrace we're now in.
Bare in mind you could have maintenance fees to pay and I wouldn't touch a new build house if it's leasehold.
Also although they're low maintenance they're not no maintenance so factor a repairs and emergency fund into your budget.