Any Recommendations for an Online Store Web Host?

My mother has had a small word-of-mouth wood working business for the last 15+ years. We have talked about getting her an online presence for a few years now. So I am on the hunt for a web host that will provide a good structure for her online store.

Requirements:
* Unlimited items (she already has 100+ ornament designs and adds more each year)
* Allows multiple photos per item
* Choice of shipping methods (UPS, Fedex, USPS, etc.)
* Choice of payment methods (credit card, paypal, etc.)

Web hosts I've been looking at:
homestead
Fat Cow/iPage

So if you know of a good provider or have tips on who I should avoid, please let me know. Thanks!