Tiny winding streets with old buildings, hugely driven by city break tourism rather than the more sedate options are part of the character of Split. The small tight streets in the old town have lead to the adoption of motorised cards, like you may see in a warehouse for moving goods around.
There is a tension in the city between the history, the ancient buildings and bloody occupations and the rowdy tourist trade looking for cheap beer and sun.
Cash in king in Split, but there are ATMs everywhere, a concession for all the tourists who are not used to carrying cash any more.
For a more complete outline take a look at: Split