Some things which I've found valuable but haven't already been mentioned. Definitely agree with food delivery, leaving things out and a cleaner! Adding a few things that might not be relevant for OP but may be for others.
Nursery/preschool feed my DS breakfast and tea. When he wakes up he has an aptamil 4 (so I don't even have to go downstairs to get milk out of the fridge plus it has vits) and a few dry cheerios in a box I do the night before - he gets his milk with nursery breakfast and at end of day. When he was younger I fitted a high chair in my bathroom and he sat in that whilst I showered and got ready (yes I did Milton it each night!). He will ask for a banana/ Apple or mini carrots when he gets home if he's hungry.
I wear a vest top until I throw a work top over the top as I leave so I don't get stuff down it and have an emergency set of clothes in the office which has been a lifesaver!
I do life admin during work hours but I also work during non working hours and most of my commute and lunch breaks. My work trust me to get my work done. I found the book "I know how they do it" very insightful!
If you have the option to do a 4 day week take Wed off - I set out the weeks delegation over Monday and Tuesday and review Thursday and Friday. I've found clients feel less worried about a day off in a week than a 3 day weekend. Plus it's 2 work says then a break then another 2.
I go in slightly later by doing drop off and thus stay later, my husband goes early and leaves early. The only issue is that he isn't keen to do sick days so it's usually me - didn't think to discuss that up front.
If there is any way you can afford it, put your child in nursery for a few whole days before starting as well as the settling in sessions. They'll be more settled, therefore so will you and you can sort yourself out before your first day.
And talk to your work about child sickness in the first month and say how you'll handle it (hol or otherwise) as kids get sick when they start nursery etc - at least then you'll have had the conversation up front.
Hopefully useful