The Botanic Gardens are the older, calmer counterpart to the Supertrees: 160 years of landscaped rainforest, free to enter and open from before dawn. This is where the city actually goes, for tai chi at sunrise, swan-lake laps and the orchid collection that carries the UNESCO listing.
Come before 9am for the light and the locals, and give the orchids the first slot; midday heat empties the lawns for a reason. Weekends bring picnics rather than crowds, and the space absorbs them.
Napier and Botanic Gardens stations open onto opposite ends, so ride to one and walk the long axis to the other. Orchard Road’s malls are ten minutes from the Tanglin gate when the humidity wins.