So far I found countless examples...im not sure which is which.

Cut hair
kami o rihatsu suru (理髪)
kami o sanpatsu suru (散髪)
kami o chouhatsu suru (調髪)
kami o kiru (切る)
kami o teihatsu suru (剃髪)

not sure what one is most used though....or even if all these are correct.

brush hair
kami o toku (梳く)
kami o tokasu (梳かす)

Dye hair
kami o senpatsuzai suru (染髪剤)
kami o shiragazome suru (白髪染め)

Wash hair
kami o shanpuu suru (シャンプー)


Wavy hair = namiutsukami (波打つ髪)
Curly hair = makigami (巻き髪)
Straight hair = ginpatsu (銀髪)

I have no idea if any of these are correct.....

This is from my experience

Cut hair=髪を切る　（かみをきる）
Dye hair＝そめる
Ｗａｓｈ　ｈａｉｒ＝　髪／頭を洗う　（Or シャンプーする）

Curly hair= もじゃもじゃ (not sure how polite that is though), くるくる）
Ｓｔｒａｉｇｈｔ　ｈａｉｒ＝ストレート

By the way, 赤毛 is usually said あかげ

I'm pretty sure "to dye hair" is 髪を染める (kami o someru). I'm guessing you could say things like:
明日、髪を黒くに染めるつもりだ。- Tomorrow, I plan on dying my hair black.

Stumped as to what "to brush hair" is... I couldn't find an example anywhere. I would bet on 梳く / 梳かす.

An important term is added. (be excluded from is not good)

bald = 禿, つるつる, ぴかぴか, 太陽(sun), 鑑(mirror), スキンヘッド(Skinhead)

wig, hairpiece (for man)= かつら, 帽子(hat,cap), かぶりもの, ブラックベレー(black beret), ドーピング(doping), アデランス(*brand name)

wig, hairpiece (for woman)= かつら, 付け毛, ウイッグ(wig), ヘアピース(hairpiece)

having thin hair = ふさふさ, 2323

Thanks guys :D

Thick, not thin.