Hi misters
I can only give tell you how we introduced our new born....
I came in first with nothing in my hands so I could make a total big fuss of my boy, let him sniff me, lick me and have a cuddle for a good five mins. Then I left the room and came back in just me with baby in car seat and placed on the sofa. I remained standing but let him come up, have a good sniff and god forbid a lick to say hi. I then sat down with them both and cuddled, talked and before you know it, dog had goe back to bed.
From that point on, he would wonder over whenever h wanted, I never shoed the dog away, he was always allowed to come and say hi, even when baby in Moses basket. When baby was lying on a mat on the floor for a leg stretch, doggy used to lay next to him and sleep!
I don't agree with telling the dog to go way every time it wants to sniff or lick,it's a natural instinct and I'm convinced that as we were so laid back and kept the same walking schedule etc thats why he was fine.
He was our baby first and even when a friend visited with her baby, he used to lay next to them too..
Sure it will be fine, of course you could send a t shirt home so the hospital smell isn't alien and also a baby grow but I really wouldn't panic, if your anxious then so will the dog be.
Good lck xx