At the ground floor of the city mall are several restaurants with local food. Here you can have a cheap breakfast. The way they drink here their coffee is horrible, brown water! Mac Donalds and subway are not overhere yet.
Always take a taxi at night. They should cost you only 300 GYD in the city. (1 euro). Take a yellow one, those are official. Ask your hotel or restaurant to call a taxi for you. We had no safety problems in Georgetown, but we did not feel at ease either.