I have been contacted by a company out in California, ( Sorry I don't have their name or number) that for a fee they can do that on your FB business page using widgets. It's actually very good but I did not subscribe because it all hinges on driving folks on FB to your FB business page. It would save a step for home buyers if it was possible to drive folks to your FB business page to do home searches instead of getting them to your FB page and then trying to drive them to your web site to do searches.
I asked if they had permission from FB to do this and they told me yes but I think a little more research is needed. As I understand it FB maintains proprietary rights to anything posted to their site and FB has been known to completely shut down a page if it feels it is breaking the rules.
All the best,