https://www.fairplaylife.com/the-book
The central idea is a set of 100 cards representing various tasks that are necessary for running a household, that you split up between the two partners. Supposedly women tend to hold ~80 of the cards in most relationships.
The online discourse around this book can be kinda vitriolic (lots of examples of it starting arguments) but I do think that it’s a good starting point if you want to genuinely try to contribute equally.