walk carefully
蹜 centers on moving with deliberate, careful steps, as if treading lightly or cautiously.
蹜 combines 足 (foot) with 宿, which likely contributes the sound and may suggest a settled, restrained movement. The exact historical development is uncertain.
The foot radical 足 beside 宿 (lodging) suggests stepping carefully inside a quiet inn so as not to disturb others.
For シュク, imagine walking carefully through a quiet Japanese inn (宿, しゅく) so as not to wake anyone: 宿 -> シュク, and your feet move with care.
—