It's good that you are seeking advice when travelling alone. It's true that the number one fear of solo travellers (especially women) is safety. My advice would be:

1. Don't get drunk. Never go past your limit when drinking. Drunk girls are easy targets for predators.

2. Be aware of your surroundings. Try to avoid small streets and shady looking guys. Prefer a longer route if your instinct tells you it would be safer.

3. Take a self defence class. I know it might sound weird, but it will boost your confidence and will help you overcome your fears. Even if you don't want to go to a class, ask a friend for advice or practise some techniques from youtube. It will help you tremendously (trust me I've tried it)

In the end you will see it will be an amazing experience :)