Depends; sometimes my stuff comes from usps, sometimes ups, sometimes fed ex. Just add the item to your cart and start the checkout process; the cart should update and tell you what kind of shipping they offer before you actually purchase it.
I'm an Amazon Prime member and sure enough they sent my 22" WSM two-day FedEx. The box is enormous - the FedEx guy was kind of laughing about never having seen anything so large.
I have been pretty lucky with my online shipping, with one exception. That was with my speakers. They were 80lbs ea and not shipped in the original boxes. But everything else:
LG Washer and Dryer
6 Home Theater Recliners
My Projector (very Fragile)
I just found out Im getting a Ranch Kettle. I wanted a 26, but this will do. I love my wife. Its coming freight
I cant wait to see the size of that box, considering the size of the box my 22 WSM came in.
As a side note, from what I read, Weber is very good about replacing damaged parts due to shipping.