I would use a site like this to make a shortlist, but then I would go to the shop to try it - so that means 0 affiliate money.
What if we gave you an organization/collaboration feature where you could also save items you like, organize them by item type, tie them to a budget, collaborate with others to decide or get help with design. The idea, is that we are with you through every step of the process.
Would that make you more inclined to buy through us?
Maybe you should focus on only presenting the furniture. That would make the site a kind of ad where selers pay to display their products. Or maybe you should just focus on people that are not like me.
Your problem is, I only need to buy furniture once every few years, and even then only a few items - refurnishing a whole room or a house happens maybe once a decade.