I've been drinking loose-leaf tea at work for many years now, and have gone through most of these.
- cup with a ceramic or glass strainer.
I've tried both the ceramic type with holes and the glass type with slots. The mesh is never fine enough for me. In addition the holes or slots invariably get packed with leaves and are a pain to clean.
If you mean the tea-ball type, I can't comment. But a steel mesh strainer is my absolute favorite. I've been using the same one (pictured below) for years now and have never noticed any off flavors. Easy to clean: just dump out the leaves and give a good rinse, picking or sponging out the occasional stuck leaf.
Not microwaveable, but you don't want to microwave the leaves, anyway. Microwave the cup with water in it (put a stirrer in to avoid superheating the water. Yes, it can happen, and has happened to me), then put the strainer in when it's the right temperature.
I have never used one, so I can't comment authoritatively, but it seems like at the least they'd be harder to clean.
- fillable disposable tea bags.
I hate disposable anything. I tried the type of bag pictured below and they were a pain. They tend to wick tea out of the cup and onto your table.
As for the other gizmos, I think for tea, simpler is better. The above are the only methods I've used, and I find the mesh basket is far and away the most convenient and best solution.
Best Answer
Grinding tea leaves will help to extract more flavour from the tea leaves faster. The logic is simple. After grinding, there's more 'tea surface' that can come in contact with water. Real life proof in practice is that when you compare grinded tea in a teabag compared to full leaf teas. Tea bags release most of the flavour in the first steeped, while full leaf teas taste lighter and can last for 4-5 steeps easily.
However, grinding leaf tea wouldn't make much sense, since you can get tea bags; or if you need something super fine than you can get matcha powder. Very difficult though to grind your own matcha. For a real matcha, the stems and nerves of the leaves are carefully removed before grinding and turning into powder. It's something really hard to do by yourself. Let alone the machines you need.