Accepting answers on Housework.SE would work in much the same way as on any other SE:
The bottom line is that you should accept the answer that you found to be the most helpful to you, personally.
Accepting an answer doesn't have to mean "this answer is more correct than any of the others", or even "this answer is correct". It just means "this is my favourite answer". If you want to accept an answer which is 100% wrong, it's your good right to do so, and that answer will remain at the top no matter how many downvotes it gets.
On a more practical note, questions with no single objectively correct answer are common on many sites (the most relevant example would probably be Lifehacks), and as far as I know, this has never led to any serious problems with the working of the site.