I was kept in hospital for 24 hours after DD birth, which was the longest my dog had been apart from me in 11months (when he was 4 months old).
DH gave our dog a good walk in the morning before I was discharged. I bought him a really "high value" dog toy prior to DD arrival (Kong teddy rope bear with squeaker) and had it stashed in the porch ready. When we got back DH stayed in the car with DD and I went in and fussed the dog and played with him with his new toy, and then DH followed in a little while later with DD in the car seat. Dog was more excited by his new toy, so it gave some time to get used to her being in the house whilst he was distracted by something else....worked really well.
We then had lunch and went straight out for a walk as a new family.
DD was born at the beginning of February this year, so we had bitterly cold weather for her first 6 weeks. I used a ergobaby carrier with newborn insert and a really thick baby wearing coat (which I would say was one of my pregnancy/baby best buys) and a tuppence and crumble star wrap (another best buy!) to keep DD warm inside the carrier. The ergo carrier is a bit of a PITA for getting baby in whilst using the insert, but I found it much more supportive than the wrap sling for when I needed to bend down to put lead on/off dog, or grab his collar etc.
We also made a point from about day 3, that when DH was home I would take dog for the occasional walk on my own whilst DH babysat. I wouldn't go very far to start with, 5 mins walk away so DH could phone me to come straight home if needed. First time we just went to a field at the end of the road to play with snow balls.
Dog loves DD now, and likes to bring her his toys and drop them on her to play with...it is very sweet, but includes dirt covered soft toys, and logs, so I am constantly having to watch them
. We are just starting baby led weaning, so think the pair of them will have great fun!!