Anodized cookware is substantially non-stick. The only thing we ever make that sticks is omelets (and that comes off, with absolutely no scrubbing, with a very brief soak). It doesn't degrade, because the cooking surface is solid -- there isn't a coating to wear away.
My understanding is by the time you see the effects of the degradation in your Teflon pans, you've already consumed some of it. If you want to be safe, you should buy the best Teflon pans you can afford, since they generally have better bonding and better durability. Also, don't let the pans ever get to the point where you can see any degradation in the surface. At the first sign, throw the pan away and buy a new one. In the long-run, you'll save money buying a first-quality pan, than buying the equivalent series of five or six pans that you'll need to cover the safe, useful life of the one good pan. Of course, with anodized, you won't ever need to worry about safety like you would with Teflon, but as I mentioned, it isn't good for omelets (specifically).
We've never been able to afford a new set of high-quality cookware.

We typically buy one piece at a time. That way, we never buy pieces we don't need, so while the price of a set is more than the price of buying each piece separately, it almost evens out because you don't buy pieces that you wouldn't buy anyway. Furthermore, you really don't need non-stick for pans that you're going to boiling things in. I think a full kitchen need only include one high-quality Teflon omelet pan, one anodized saute pan, one anodized saucier (which could sub in for a small wok), and the rest can be regular (not non-stick) pans. We do have an anodized dutch often too, so we can brown the veggies directly in there (saving us from having to clean the saute pan or saucier) before making a stew or chili. We also have an anodized paella pan (again -- we accumulated these over time, one piece at a time), which we really have no specific use for other than to sub in for a large wok. I suppose that might be more generally useful than the saucier, for larger families.
I hope this helps.