Your furniture sounds fun and funky. Have you tried the Rose Bowl Swap meet? Ebay? Craigs List?
There used to be a ton of consignment shops in LA. None anymore. What I recommend doing is taking photos of your furniture and go in to the shios on La Brea, Melrose, Silverlake, La Cienega and Vence and see if any of those place just want to buy your furnuture. I know they do buy stuff this way as a client of mine just sold his living room set just this way to a show on Melrose.