Everyone has given good advice here. Its worth spending time preparing
We have a Whippet, about a year old now and got him when I was 34 weeks pregnant. TBH we haven't really done anything different since we got him.
Our gate on the stairs was fitted when he arrived and he sleeps on the sofa at night. He is allowed to go upstairs if the gate is open during the day but often chooses to lounge around downstairs still. Our gate is always shut at night and he is happy to sleep downstairs.
We regard to introducing him to our LO we did this when our son was about half an hour old as I had a homebirth and our son was born in our sitting room

Eric the whippet spent my entire labour in the sitting room with us (he slept on he sofa) apart from trips up the garden. He only went outside when I got to the big push stage and came in once our son was all dressed and on my boob.
We've done nothing different with him since then tbh. He walks fine with the pushchair, has never poked his nose into the moses basket and its only in recent weeks since my son started showing an interest in him that Eric has been mauled

Galen loves grabbing at Eric and all Eric does in response is to try to lick his hands

So we are wiping LO's hands a fair bit now each day. Eric knows that 'leave' means he should not lick Galen's hands etc. He associates the word with Galen now.
He really has been good with Galen so far and tbh as Galen starts moving round I am sure Eric will learn to move out the way. Eric may start to jump up when excited but I'm not overly worried about that tbh. We'll cross that bridge when we come to it with Galen. Children need to learn to respect animals so both Galen and Eric can learn together then
We personally felt that our dog was not the kind of dog who would be a real problem so we have made sure we are careful but didn't do anything really specific. Whippets and Greyhounds (and lurchers) are very friendly dogs as a rule. I've owned many dogs and am confident training and handling them so am prepared for future and any training Eric may need. And also to help Galen understand about dogs and how to treat them and behave round them.