Caution: foodie on the premises!
I LOVE to cook.... and even when I was single, did a lot of research on pots and pans, with cost as no object. My goal was to get the perfect pot for each application.... and pots that would never have to be replaced. So, several $K and 3 years later, I can report the following:
Le Creuset cast iron are fantastic casserole pots. They heat evenly, and in general, things don't stick too much. They also are great 'on the stove' pots, since the sides also conduct heat. Just never scrub them with a brillo pad.... I recommend purchasing a 5L (5qt) for cooking casseroles for about 4-6 portions, and a larger 8L (8qt) for parties, roasts, or lots of leftovers....
Cast iron skillets are REALLY necessary for searing meat. It doesn't have to be expensive, but it definitely has to be treated properly (seasoned, heated after rinsing to dry off...). The heavier the better, as long as you both have good wrist strength! Mine are still not seasoned enough for eggs not to stick.... so you need an additional frying pan for stuff like that. I recommend one 12 inch skillet. (might as well get a head start and get preseasoned... although it is still BARELY seasoned...)
The best stovetop pots are completely clad. All Clad is excellent. (I bought a european brand dahlstrom from hackman, which looks a bit more modern, but behaves identically to all clad). All clad's steel surface is inert (so tomato sauce won't taste metallic), yet the aluminum core prevents hot spots. They're expensive, but well worth the price. If you envision cooking frequently in the future I recommend registering for an 8 qt, 5qt, 3qt, and 2 qt pots, along with a wide frying pan (12-14 inches) with a lid.
I consider nostick a double-edged sword... It is not good for you. The teflon actually DOES absorb into the food. A medical study published that all americans have teflon in their bloodstreams... and attributed it to the cookware used since the 80's. As a medical researcher and an avid cook, this disturbs me greatly.... Everyone CLAIMS it does no harm, but I know that just means no one has found out how it affects us. Afterall, it's nearly impossible to experimentally determine since we can't find americans without it in the blood, so no negative controls exist!
I admit I have 2 teflon pans, one I use for omlettes, and one I use for crepes, but I feel guilty every time I use it. The surface DOES wear off over time, even on the most expensive pots, so I would avoid spending a lot of $$$ on nonstick. My 2 pans are midpriced (TFAL and equivalend), and I consider them 'disposable'.
I also don't recommend anodized aluminum, becuase the outside surface scratches and stains like crazy. The pots will look ugly in no time. Usually they are also $$ and nostick, which means their inside surface will wear off after 3-5 years of heavy use. It also may react with acidic foods....
a year or 2 ago, Alton Brown published a kitchen equipment book which goes into these things, along with many gadgets.... I recommend it!
hope this helps