First off, how much tea do you generally make at one time?
If you are drinking primarily black tea or flavored black tea, a porcelain tea pot would work pretty well, but the size of that depends on how much tea you tend to drink at one time or if you share the tea with anyone while you are home.
I brew my rooibos in the
paper filters. I have two different infuser baskets, one nylon and the other stainless steel. The nylon one works a little better for rooibos than the stainless steel one, but the paper filters work the best. Adagio has them for $3 for a pack of 100. They are cheap and make clean up incredibly easy.
My first teapot, once I decided to go beyond an infuser basket in a mug, was Adagio's
PersonaliTEA. It currently is being kept at home for the occasional times when I have someone else who wants a cup of tea at the same time I do. It's very nice for the price, but 21oz is more than one person can drink at one sitting without the tea getting cold.
My second teapot was a Japanese style teapot from Den's Tea called
Teapot Yutori. It is fully glazed and has a metal screen already in it. Some people may consider it sacrilege to use teapots across different cultures, but since this one is glazed all around, it should be fine for any types of tea. Now that I have a different teapot for Japanese greens, my Yutori gets used for many different types of tea with no issues. At a 10oz capacity, I find that it is a good size for making a cup of tea.
Some people on the forums use even smaller tea brewing vessels, but if you are not used to something that size yet, you might want to start off with something slightly bigger and similar in size to what you are used to and work your way down to a smaller pot eventually.