Getting around with a stroller
Barcelona's centre is flat and its buses are modern, so the main planning issue is simply which metro stations have lifts.
Metro with lifts
The official accessibility map marks every station with a lift; plan routes around those and skip the rest.
Buses and the tram
Every city bus kneels and has a stroller bay, and the tram is level boarding, which often makes it easier than the metro.
Tickets and cabs
Small children travel free on public transport; for taxis, bring your own seat or carrier, since most cabs do not carry one.