If one does a Google search for “open a Facebook store” or something similar, a couple of services seem to be a the forefront: StoreYa and StorefrontSocial.com.
StoreYa has someone posting on this forum and they have a one-click import for CS-Cart stores.
StorefrontSocial can use your Google Shopping XML feed (or CSV) to import (and presumably update) your inventory.
Both are similarly priced. I was wondering if anyone has experience with one or both of these services and can comment on strengths/weaknesses, etc. and even how they compare.
http://www.storeya.com
http://storefrontsocial.com