E-Commerce Solution Wanted for Antique Store

I am investigating the possibility of adding an e-commerce store-front to my
web site. We sell antiques and other home furnishings.

I am looking for a suggestion on e-commerce software or web services that
can handle one of a kind items and more complex shipping than just UPS. In
particular, I would like to be able to keep track of my product inventory,
and when an item is sold, automatically remove the item from the web site if
it is no longer available.

In addition to smaller items which we will ship UPS, many of our larger
items will have to go via truck. We need a solution that can handle that.

Does anyone have any suggestions on who might have an off the shelf solution
that can handle these requirements?

Thanks,
--
Mike Schumann