due to the small and irregular streets and uneven pavements along the Old City of Jerusalem and the small roads along the Mound of Olives area at the outside of the Old City. Walking around the various attractions, both secular and religious is the best as your favorite tour buses and private vans cannot go inside the old city due to the narrow and irregular and uneven streets and the lack of parking areas outside the old city for buses. hence, even pilgrims walk around the old city and environs to reach the destinations. so it is best to wear comfortatable walking shoes for the long walks around.
You can take tour busses all over a city but the best way to see a city in my opinion is to put on a pair of good walking shoes and take a wal. You won't have to worry about traffic, parking, missing something because you are driving and you get the benefit of being with the people you have come to visit and get a great cardio workout.
Jerusalem is a very walking friendly city, just bring a good map, sun screen, sunglasses, a jacket (in the winter) and make lots of stops along the way to explore or taste food at the local markets.
I walked from my hotel near the bus station on Jaffa road to the market and continued to the Old City, it took the better part of the day but there are plenty of shops and restaurants to stop at along the way or just sit and people watch or admire the architecture for FREE!
The best way of getting around is by foot. Personally, I love to walk around in big cities all day because it is the best way to get to know the city.
In the Old City of Jerusalem, it might be the only way of transport possible. There are no busses here: the streets are too narrow. And you dont want to get around here by car, it's madness.
But for those who dont like walking a lot: the Old City is relatively small and you can easily walk through the Christian, Jewish, Armenian and Muslim Quarter in one day. But ofcourse, you will need much more time to experience its attractions and sights.
If you want to enjoy walking around the city there is a new route like the Israel route (Shvil israel) just in Jerusalem called the Jerusalem route (Shvil Yerushalayim).
This is a 7km walking route and you will walk from Emek Tsurim national park (Har Ha'tsofim) to the governor promenade (Tayelet Ha'natsiv).
Some of the attractions you will see are : Kidron Valley , church of all nations , the jewish cemetary on the mount of olives and more.
In the Old City, you have little choice but to walk,
The Old City is split up in to different areas, by far the most colourful & vibrant is the Arab area, along with the stations of the cross along the Via Delarosa being the busiest area with all the Christian pilgrims.
The Jewish area seemed to be the quietest.
In Jerusalem there is a lot to walk and to see around, because of the mountains it is not really practical to use bicycles. If you need to go longer distance I'm recommending taking taxi, but during rush hours it will be lots of traffic on the main roads and in the centre.
To my opinion the best way to see the city is by walking.
You will enjoy the narrow alleys , beautiful synagogues , mosques , churches , markets , friendy people and great view.