Another vote for an apartment (we used VRBO in both Paris and Rome) and the key advantage was the different jet lag schedules. If some members of the family will fall asleep on night one and be perfectly adjusted the next day, and others find themselves up at 3 am, it’s nice to have the living room to use for the off-cycle folks! I’ve sat in bathtubs reading so I didn’t wake my spouse in hotel rooms… and frankly, having a living room is a lot more comfortable.
We found even the modest takeout options in Paris (cheap places) were high quality and “gourmet” type. So just one splurge on a fancy restaurant meal, the rest were less expensive and it was nice to have a refrigerator available.
Have a blast- so much fun!!!