I've been doing pretty much this the last school year:

8am-1pm daycare
2pm-7/8pm nannying (two days with family A, three days with family B)

Plus I have an hour's commute, so I was gone from 7am until almost 9pm on most days.

I found this very doable, though extremely tiring. The most I was ready for after this was quick drinks or dinner with friends after work, and usually pretty much went straight to bed after some food and internet/reading. I really needed the weekend to recharge and catch up with everything I neglected during the week.

The year before that I did this:

8am-1pm daycare
4pm-7/11-12pm nannying (family with a lot of evening obligations, at least 2-3 times per week I stayed there until 11/12pm)

Plus the hour's commute as before.

I thought I would be able to use the 'break' in the day to get things done, but I found it hard to make myself do things that weren't urgent, I didn't really have a proper rest between jobs, and though the kids were in bed by 9 at the latest, I was by then too tired to do something for myself at their house, and I was dead tired by the time I got home. I was sleep deprived half of the week, so that contributed to my being more tired during the day.

So I would definitely advise to got straight from one job to another and try to be home at a reasonable hour. I found that roughly planning my chores helped - like, Monday is cleaning the bathroom, Tuesday is dusting, etc (even if you don't do stuff all the time you won't end up with all of the chores on your one day off). RESIST the temptation to pick up evening babysitting, unless you really need the money at the moment, have a planner and try to organise your time in the most efficient manner, cook two or three times a week to last you for a couple of days, and make yourself go to bed on time.

I don't think this schedule is easy or sustainable for several years, but you can totally do it for a year or two. Just be smart about your time! Good luck