香箱座り: sitting in a catloaf pose

cat

黄昏: dusk / 後昆: posterity

slowly but steadily

割り下: Japanese sauce usually made of sake, sugar and soy sauce, used for preparing various boiling water pot dishes, such as sukiyaki.

割: proportion; tenth / 割り: ratio or proportion; mixed with (a beverage)

well done; good job

(emphatic) Alternative form of よく (yoku)

adverbial form of よい (yoi, “good”) / adverbial form of いい (ii, “good”) / 良く, 善く, 克く: good, well / 良く: frequently, often / 良く, 善く: having astonishing ability or guts / 能く: (literary) able to

浴室: bathroom