Sometimes when you're traveling alone in another country, it's tricky to know where to go and when. You'll hear conflicting reviews from all around. You'll find a recommended attraction and some will tell you never to go anywhere by yourself; you'll surely get robbed and murdered. Others laugh at you and wonder why you would even question going there in the first place; it's perfectly fine!
I've taken baby steps in walking everywhere I can around here. And it's turned out that all the places I've wanted to see have been worthwhile and safe. I've walked to the abandoned Old Hospital and the nearby train station. Since the houses are so colorful and the city is a manageable size, it's a usually a pleasure to stroll around anywhere you can. You might even find goats and horses grazing on a regular old jaunt to the grocery store.
Of course, I am careful and I stick to the well-traveled areas when it gets dark. But it seems that it's easy to explore most of Granada's main attractions on foot (or boat), and the most dangerous part is being in direct sunlight at mid-day. Of course, there are always taxis or horse-drawn carriages that will take you anywhere you don't feel comfortable walking.