Chungmuro sits between Myeongdong and Namsan — Namsangol Hanok Village is right by the station, and it is a short walk or one stop to Myeongdong's shopping. Store your bag here and keep your hands free for the hill up to N Seoul Tower.
Coin lockers at Chungmuro Station
Chungmuro is a Line 3 / Line 4 transfer, and it has T-Locker coin lockers at 2 spots, about 34 in total — about 21 near Exits 1, 2 and 8 and about 13 near Exits 3 and 4. See each spot and the live count by size on the Chungmuro Station page.
Prices are the same across Seoul — about ₩2,200 (small) to ₩4,400 (large) for four hours, then hourly. English screen, pay by card, no ID.