The historic center of Mostar is rather small and concentrated. Therefore, you can easily move around on foot and visit the main points of interest.
To reach the suburbs and neighboring villages (including Medjugorje), you can use public transport.
Here are some info for getting around Mostar.

TAXI

Here, you can hardly raise your hand and shout … taxi. Generally they are stationed in the main points of interest such as the railway station, airport, or near the Stare Mesto.
It is preferable to check the rate in advance, speaking in English.

GETTING AROUND MOSTAR BY BUS

Mostar Bus, a local transport company, offers daily connections with the peripheral neighborhoods and the main places of the city.
The yellow buses are identified by progressive numbers from 1 to 48, for a total of 18 lines.
Buses run from morning until around 9:00 pm. After this time, you will almost certainly not see public transport circulating.
With the exception of the main lines, the vehicles operate exclusively on weekdays, or at most until Saturday. Lines 2 (Skakala-Rodoc-Jasenica), 10 (Sj.Logor-Blagaj), 22 and 29 also operate on Sundays, with reduced frequencies.

Line 6 is the main one, and connects Masline and Zalik. It works from Monday to Sunday, from 06:10 to 20:30, with frequencies of 30 ‘on weekdays, and 60’ on Saturdays and Sundays.
Line 48, on the other hand, connects Mostar with Medjugorje. It works from Monday to Saturday, from 06:30 to 19:40.