Congrats! We did had a homebirth with my daughter, so Chloe got to meet the baby about an hour after she was born. Chloe was happy to see that we were both o.k., and we gave her a blanket that the baby had been wrapped in to smell. Also, I always praised Chloe while I held the baby in my arms to create a positive connection between the two. When I was up and about again, I would take Chloe on short walks, just she and I, while my husband took care of Sophia. It was nice to have the time together. The crying didn't seem to bother Chloe too much, she just seemed bored by it.
Now the two of them are fast friends. Chloe sits right next to the high chair waiting for the food bombs to fly down. She also has this "thing" for baby socks, she will steal them right off Sophia's feet! We scold her for that. I'll find her contentedly sucking on one of those little socks - its so gross!
Keep the interactions positive and be ever vigilant!