I have thick bottomed teflon coated pans... and they work great, even on an electric range.
Cheapest, best made pans I've found- Everyday Living pans from Fred Meyer. Just make sure to use non-metal utensils in them, and they'll last for years. I have 2 different EL frying pans, and an EL saucepan. All 3 were $15-$20 each, and I consider them one of the best values in cookware available.
I was given an All-Clad Non-stick frying pan as a Christmas present, and while a very nice piece of cookware, it isn't leaps and bounds greater then the $15 Everyday Living pans. I have never had a problem making omelets, getting a good hard sear, frying, or sauteing in either pan. Burning has never been a problem. I really don't have a preference between the two, but long term, the All-Clad pan will probably last a lot longer. Course.... I've gotten 4 years of hard use out of the $15 pan.
You don't have to spend a fortune to get good cookware. Good technique will go a long way in determining how well any piece of coookware works for you. But some cookware isn't suited to doing much more then boiling water. Good, solid all-metal construction is a must. You want the bottom to be thick... around 1/4" or so.
Flimsy light guage stainless steel pots and pans are garbage, and will easily burn anything you put in them if you're not careful. To help you with what you have now, until you decide to get something different, try reducing the heat as much as possible. For your soup, if your recipe allows, get your liquid boiling first, then sharply reduce the heat (maybe to just above a simmer), let the pan cool off a little (even by pulling it off the burner for a while if you need to), and then add the solid ingredients. Stir often! That pan is your enemy. It wants to burn your food. Don't even give it a chance! You might have to cook a little slower then you're used to.
Kinda long post... hope it helps you some.
-B.