Francis Marion University (FMU)
Francis Marion University - Home: FMU Home is located just east of Florence and has a high quality School of Education with reasonable tuition. The Patriot Place Apartments are located across from FMU, however, the only things on that side of town are a Food Lion grocery store and the flea market.
Powers Properties (843-667-4900) runs several apartment complexes in west Florence, which is closer to shopping and dining. They have a new complex called Sommerset Apartments that runs about $725 per month. I don't know if they allow pets. I definitely agree you should rent before buying so you can find a neighborhood in your price range that is safe.
Most neighborhoods on the west and south sides of Florence are safe and so are the rural areas of Florence and Darlington counties. Pamplico is about the only safe small town close to Florence. Hartsville is nice, but about 35-40 minutes away.