long
short
three-quarter length
heavy, thick
light
winter
waterproof
fur-trimmed
fur, leather, mink, tweed, wool, etc.
double-breasted, single-breasted
duffel, pea (AmE), sport (AmE), trench
frock, morning (esp. BrE), tail (usually tailcoat)
lab (informal), laboratory, white

don, pull on, put on, shrug (yourself) into, shrug on, slip on, throw on
pull off, remove, shed (esp. AmE), shrug off, shrug out of, slip off
button, button up
The coat was buttoned up wrong.

unbutton, unzip
get, grab
Get your coat, it's time to go.

hang, hang up
take
Let me take your coat.

collar, pocket, sleeve, tail
closet (AmE), hanger, hook, rack (esp. AmE)

long
short
thick
rough
smooth
shaggy, silky
a dog with a long shaggy coat

glossy
spotted, striped
winter

shed
The dog sheds its winter coat once the weather becomes warmer.

thick
light (AmE), thin
fresh, new
The room needs a fresh coat of paint.

base
final, top (usually topcoat)

apply, put on
Make sure the base coat has thoroughly dried before applying the topcoat.

dry

coat of
a coat of paint/varnish