I know many of my more intense tea drinker readers may object to this, but while I know there is no replacement to a solid session or two of tea, in which you really get all you can out of the tea in many steeps, sometimes simplicity is the answer. I personally am not a morning person, so any time I do have tea in the mornings it is what can I do with minimal effort. The answer is in just about every case "Grandpa Style".
So what exactly is the beauty of Grandpa style? For one steep times are nearly optional, as it resorts to adding hot/ warm water to the cup/glass/bowl full of leaves and tea, and drinking. Then repeat until the tea seems to be little more than colored water. Even better is as its usually a lower leaf to water ratio, the temperature of the water you introduce to the leaves will either cool quickly enough to not extract the incredibly bitter components that can come from too hot of water exposed for too long of a time in a Gong Fu session.
In my personal opinion your feelings towards the vessel you use to brew "Grandpa style" will significantly alter your total enjoyment. Such as if you love to watch the dance of the leaves, then perhaps a glass vessel is ideal. I do not care as much about the dance of the leaves, and I like to see how a piece is progressing, so my Celadon teabowl is ideal in my opinion, as while the inner cracks are quite stained, the cracks on the outside of the bowl are slowly staining.
When busy I find it is so much easier to stick to simple types of brewing than working about fitting in entire gong fu sessions with teas that require a lot more attention. While certainly those gong fu sessions produce excellent tea, well worth the effort, when you really love tea, you want to enjoy tea in any way you can.