I regularly struggle with household chores and showering etc during depressions. With and without a baby. With a baby things are different though. There are some things I HAVE TO do. Like wash the bottles and get them ready. Prepare food for my baby, and feed him, change him, wash his clothes etc
I've been much better with doing stuff since I had him even during this last depression.
You can do it because if you have a baby you just have to do it.