How to brew 1-3 servings of coffee with as little waste as possible? I'm looking for a quick/easy way to brew coffee in small servings, usually one cup. However I am looking to make no waste (except for the used coffee grinds). Is it possible to use a teapot like this one to brew? Maybe similar to a pour over method.

I have a grinder for beans, and I have a french press (but am looking for an alternative).
You can always try a mesh pour over like this one. 



Also teapot like the one you described seems like it would work as well will coarser grinds (like the one needed for a french press) but like a french press leaving the grinds for too long will result in an overextracted bitter coffee. But keeping that in mind, it seems totally usable. 

Hope this is helpful