Virtually all large cities and towns offer some form of public transportation including buses and taxis which means going around in Lebanon is not a problem.
Info about almost all kinds of public transport in Lebanon which includes airlines, airports in Lebanon, bus routes, driving maps and trains in Lebanon are available at this website.
The tables underneath will cover additional information regarding the travel methods to get around Lebanon: Travel by rail, travel by air, and travel by bus and car.
Airports in Lebanon
Public Transport in Lebanon
Lebanese Public Transport Questions