They can either be placed on the floor (what's the deal with the 花板, by the way?), hung on the wall or hung from the ceiling.
真:
anything made from brass or alloy of brass
celadon
tenryu-ji, named after the Kyoto temple that traded with Lung-ch'uan Ming dynasty celadon, which has an olive green glaze
kinuta, which is bright bluish, mostly Southern Sung dynasty Lung-ch'uan, but also Southern Sung Kuan
shichikan, which is all other Chinese celadons from Ming to early Ch'ing dynasties and which are more glass-like, in between tenryu-ji and kinuta, often crackled glazed
nabeshima (japanese)
sometsuke
akae
white porcelain
There are typical 真 shapes, but they are not clearly defined in the article. I guess this is a good example though:
行
All boat shapes (no matter the material, also bamboo)
All glazed Japanese wares:
tamba
takatori
seto
raku (if shin shapes)
草:
unglazed Japanese
Bizen
Iga
Shigaraki
Tamba
Tokoname
raku (not shin shapes)
bamboo (if not boat shaped)
gourds
baskets (first introduced by rikyu)
wood
Not Chinese, not Japanese
All can be used in any season, except for bamboo, gourds and wood, which are only used in furo (according to Cq22, namburoku sais they are the only ones that should be used). Lacquered Chinese baskets can be used all year around.