Yikes. You're in a hospital and your husband is leaving the country in a week? Have you considered "Lotsa Helping Hands"? It's a free newsletter and task list where you can set up a schedule for what you need, and anyone in your various social circles can sign up to help. Do you have a church, MOPS group, Newcomers Club, library moms circle, family, anything? You figure out what you need (based on the suggestions you will get here and with help from any friends who've been through it), then get one or two friends to be the coordinators. They list the tasks and the dates needed, and people sign up for a time that's convenient for them. You can look at the schedule any time and see what's promised. We've put a cooler in the driveway or on the porch for meal deliveries but you could put it on the landing of the 2nd floor to keep you off the steps.
I've used it for meals when someone was sick or getting chemo, and it's been used after babies and deaths. You might include meals 3 times a week, trips to the park for the toddler 4 times a week, grocery shopping once a week, laundry 3 times a week, caring for the baby so you can nap, coming along for the well-baby visits to entertain and put the toddler in the car seat, anything. It takes away the problem of you being the one who schedules things when people say "Let me know if I can help" and then wondering what will work for them.
You DO know what to ask for - just think about what you did for the 3 days before you went to the hospital! You shopped, played with your child, did laundry and folded it/put it away, cooked and did dishes, cleaned, etc. That's what you need help with.
You can also call any home health agency. There are plenty that do not have medical staff (therapists, nurses, etc.) but do have "companions" who will do meal prep, shopping, light housecleaning, laundry and so on. They often care for the elderly or those with dementia but I'm quite sure they are adaptable. The one I used for my elderly mother had mostly trained CNAs who had some training, and many were going on to nursing school. They work any shift, and are insured and bonded.
You could also look into mother's helpers agencies and perhaps some nanny services - maybe someone is "between jobs" and would take a short term assignment.
Good luck!