To me, there isn't too much difference between brands. Fully clad pans will be dishwasher safe, but I never put pans in the dishwasher, anyway.
I bought some of my first stainless pans from a restaurant supply store, and they were really cheap, but worked well. They basically have a big aluminum disk fused to the stainless part that contacts food. It heats really evenly, but it's not dishwasher safe.
I also have some All-clad pans. They are expensive, but you can get them on good sales (also, rich people buy big sets of them cause they are shiny and expensive but then donate them to a thrift store when they realize that they don't know how to cook on stainless steel). Honestly, they are just fine. The handles are weirdly uncomfortable. They make a mirror finish on the outside or a brushed finish. I like the brushed better because there's no way someone who actually uses them can keep a mirror finish looking good.
They make a 3 ply and a 5 ply (and even a 7 ply). The 3 and 5 ply are the same thickness overall, and theoretically the 5 ply should be more warp resistant, but i don't know that it should really ever be a problem. I think the higher ply pans are also heavier, so they probably hold more heat, too.
Realistically, I think the only things that matter to me are that it's oven safe and induction capable.