手桶 is read as ておけ (teoke) and means pail.
ておけ
teoke
かたておけ
single-handled pail
かたてゆとう
wooden scoop (used for bathing)
しゅずつ
skill with one's hands
てあし
hands and feet
てかず
number of moves (in go, shogi, etc.)
てつづき
procedure
てあて
advance preparation
てびき
guidance
てがかり
handhold
てぬぐい
(hand) towel
て
ability to cope
しゅだん
means