Keep the first day in central Daegu. On day two, choose the lower-effort lakeside walk at Suseongmot or the uphill Apsan viewpoint; adding both can turn a relaxed plan into cross-city transfers.
Day one: stay in the old-city corridor
After arrival, leave luggage near your base and walk one section of the modern culture alley before heading to Seomun Market for a meal. Keep the alley short enough to leave time for the market and a return to the hotel. If a train delay or queue changes the day, drop the extra heritage stop rather than rushing between districts.

Day two: lake or mountain
Suseongmot suits a slower lakeside visit with room to turn back. Apsan adds elevation and a cable-car timetable; check the current operating notice and visibility before committing. Choose one of the two, then leave the evening meal close to the route you finished.

Choose the base by the next departure
A Dongseongno-area base keeps the first evening close to central food and streets. A Dongdaegu-area base can reduce the morning transfer for an early train, but means travelling back after a central dinner. Compare the actual hotel-to-station journey and luggage plan for your dates; no single district is best for both plans.
Official route reference
For Apsan’s cable-car fare, age rule and current hours, check the Korea Tourism Organization visitor listing and the operator schedule.