Not really a new dad anymore, our little one is 21 months, but agree with the lots of good advice above about cooking and cleaning and changing nappies etc
Adjustablewench makes a good suggestion about a bit of solitude, alone time for mum, to have a bath/sleep/natter to mates on the phone. I did alot of walks with the pushchair or baby carrier in the feeding windows, and at a lot of weird times aswell. Up onto the downs as the sun was coming up was a favourite 😀 ours just loves the fresh air and being outside.
good luck enjoy its tiring but great fun.