We stayed in extended stay America ,There are a lot of weekly/ monthly hotels but make sure you drive or tour them first. Our first weekly hotel was super cheap but it was a dump but it would have been better than nothing if I did not have much money.
Serlago in Kissimmee was the dump at $25-30 a night
Extended stay America was 1650 a month
My DH moves a lot for work we do this a lot.
You are lucky that Orlando has a lot of weekly hotels with kitchens compared to some places.
But you probably dont want the Florida project and since covid a lot of people lot there homes and live in hotels.