we have revere ware,
http://www.revereware.com/default.asp the ones with the double thick bottoms, (I guess they are calling them tri-ply) got a set for a wedding present 14 years ago and I love them, have added a couple of thin copper bottom ones that I have found at thrifts. I like the thick ones better for cooking but to just boil water the thin copper bottoms are quicker
I use the skillet maybe 2 times a year if I'm doing something like a cream sauce that I don't want to risk coloring/darkening with my cast iron pans. (only for when I'm feeding 'certain' company, if it's just us then the cast is just fine and so what if a sauce darkens a little)
For us 2 spaghetti noodle size pots, 1 thick bottom, 1 thin. 4.5qts could get away with just one, but it means I can leave leftovers in one pot in the fridge

I like the thick one if I am going to be simmering soup or beans all day.
for reheating a big pot of soup or beans, a big batch of mac and cheese a 2 qt copper bottom, don't 'need' this one, could just use the big pans, but for a couple dollars at the thrift it was worth it.
for rice 1.5 qt thick bottomed ****USE ALL THE TIME**** I would NEVER NEVER get rid of this pan!!!!
for tea water, reheating coffee or making hot chocolate, melting butter, 3/4 qt thin copper bottom
I have a big, don't know the size, but it doesn't quite fit on 2 burners, but too big really for 1 burner, it's my chicken and dumplin pan, because I like to float my dumplins so they don't touch one another and it gives good surface area... it's huge, I guess it's more like a roaster, my mom told me to take that pan when she died and for my brother to take the one that was shaped the same but only twice as big. (that one is good for gumbo)