I was wondering about how to get to the Alhambra?
Is it best to go by bus, by taxi or even walking.

There is an excellent page here with maps of each bus route.
https://granadainfo.com/alhambra/minibus.htm


The Alhambra is on a hill 100 metres above Granada.
There are several ways of getting to the Alhambra ticket office.

On foot:
Walk up the Cuesta Gomerez (pedestrian only – 1,100m from Plaza Nueva)
Walk up the Cuesta de los Chinos or Cuesta del Rey Chico (pedestrian only – 720m from Plaza de los Tristes)
By bus:
Catch the  C31 or C34  minibus
By car:
Via Ronda Sur – the Granada ring road to the Alhambra carpark (map).

See maps of the 2 main minibuses here:
https://granadainfo.com/alhambra/eng_minibus.htm

See more information about how to get to the Alhambra here
https://granadainfo.com/alhambra/getting.htm

The Albayzin is the old part of town with whitewashed houses.
See more pictures here
https://granadafoto.net/index.php/Barrios---Areas-of-Granada/Albayzin

The Realejo is the other old part of town
See more pictures here
https://granadafoto.net/index.php/Barrios---Areas-of-Granada/Realejo

A useful map of Plaza Nueva is here
https://granadamap.com/27.htm