Yes to everything everyone else has said! We have a high energy dog and we were worried about him knocking into DD by accident - he's 30kg+ and still thinks he's the size of a terrier, but they were totally unfounded.
We let him sniff her as soon as we were through the door but he was far more interested in greeting us. He does come on the sofa and he will lie as close as he can to me and DD without being on DD. In fact, DD plays with his ears (stroking) as she's drinking her milk - she has never laid 'like a baby' for her milk, preferring to be stetched out in front of me. DDog lays next to her and she strokes his ear as she's drinking. When she started nursery, we had to send her with a soft toy that was as close to the feel as the dogs ear as we could, because she refused to drink without him!
As for walking, we tend to walk in places where he can go off lead as soon as we get out the car park. I have to be careful occasionally as although he's fine with other dogs, if they come to the pushchair first, he gets a bit protective and dominant (although, touch wood, he's never actually gone for anything). Echo the poster who said about not looping the lead round the pushchair!! And when you buy your pushchair, make sure you take into account where you walk the dog!! We went to M&P, tried loads of lovely chairs, settled on the Stokke (which we still adore), spent a small bloody fortune on it and various accessories but the first time I took DD + dog out, I got about halfway along a path in the forest park we go to before having to admit defeat. Ended up with a £40 Graco off eBay which has been awesome for dog walking.
The only real problem we've had has been him nicking her toys, the little turd. TBF, he doesn't shred them like he does his own, but he does walk round showing off what he's got and then has a small 'No, you aren't getting it back' before giving in.