Is there any possibility you could get a babysitter? If that's too expensive maybe a "mother's helper" in the form of a preteen who might play and keep your daughter engaged while you have time to clean or catch up with other stuff around the house.

Also, are you able to get out of the house everyday with the baby to take a walk, park, library, etc? That can really help the social/easily bored kids have some routine.

Realisitically it is going to be really stressful to be in nonchildproofed place with a little one. I'd try to see if there is some short term way to get her out of the house or get her occupied so you can really dig through stuff and get the rest into storage. It will lower your stress a lot.