I use a mixture of things, but I boil my water either in an electric kettle I have that the element is encased, or my whistler glass stovetop tea kettle, a lined regular tea kettle, or sometimes a HotShot.
I brew in either a gaiwan, my ceramic or glass mugs with a polymesh (nylon) People's Brew Basket, Yixing (I do brew a particular jasmine green in Yixing even though it is not "correct"), or in one of my porcelain/ceramic/yixing 3-piece mugs with mug, strainer, and lid.
All of them make it very easy to cleanup with the Yixing and brew basket being a bit more of a chore. But with Yixing it is enjoyable to me. And, I'd love to find a gold/silver kettle I have nothing against those at all except cost. I also hope I don't give off a vibe that one need be wary of questioning me or my methods/thoughts... quite the contrary, I love a good discussion and I'm happy to be proven wrong and showed new things and ideas. I tend to ignore many "technical" tea things and prefer, time, experience, tradition, and common sense... that doesn't make me "right" and I don't care to be :) I just enjoy the simplicity of tea and how it was enjoyed originally, and I'd bet good money there were no scales, timers, thermometers, and 3-day-old picked tea airmailed next-day for more than my car cost me.
- Dominic