Jinja is compact and most of the town centre is walkable. The Nile Crescent, Main Street, and the main market are all within easy walking distance of each other.
Boda-bodas (motorcycle taxis) are the main way to get around town and to the riverfront areas. Agree a price before you set off — standard fares within the centre should be a few thousand Ugandan shillings. For longer trips to Bujagali (about 10 km out of town) or the Source of the Nile garden, negotiate accordingly; the ride to Bujagali takes 20–30 minutes.
Bicycle rental is available from several of the backpacker lodges near the river. The roads into the Bujagali area are navigable by bike and it's a pleasant ride in the morning before the traffic picks up. Tuk-tuks (auto-rickshaws) are increasingly common and useful for longer town trips.