Cats upset about newborn

Jessica
How are your pets doing with the newborn at home? 
We have a highly anxietel cat who is now urinating all over the place ever since we didn't come home from the hospital right away. He has peed on baby's bouncer, in the stroller, and on the carpet in hubby's music room. Luckily he doesn't pee upstairs and this is all in the basement. For the past year or so we have been dealing with him defecating on newspaper down there as well, but he'll use the litter box half the time. We have explored the option that it could be medical but we're now pretty sure it's behavioral. I think it's time to put him on kitty Prozac. 😢
Our other kitty used to be so loving and friendly. She would snuggle with me on the couch every chance she'd get, but now she hides out in the other room and won't come near me unless I am taking her outside to explore or giving her food. She's terrified of the baby. She just looks depressed. 
I feel so bad for them...they were my first babies and I love them so much. Anyone dealing with something similar? If you have any suggestions I am all ears.