Mine is a Tramontina from WalMart (even though I hate to admit that, not a fan of WalMart) very thick bottom, never scorched anything in it. I've made tons of soups and chili in it. Love it. I believe that Cabelas had a set of four that look very appealing because of the price, but beware...very thin bottoms.
Finn...one thing to consider is the grade of stainless steel. The Bayou Classic stainless steel stock pots are made of commercial quality 18/8 gauge stainless steel. The grade of stainless steel is one of the highest (304).
My Mrs bought some "great priced" pots from Boscovs etc and they are not in the same league qualitywise nor performance...thickness not being much greater than a beer can..
Yep, it ain't gonna be cheap but a good stock pot will outlast you and your kids. Well worth the money. If you ever get near the erie area, Caplans in Waterford sells a lot of used restaurant equipment.