If you are searching for Florida apartments, Jacksonville has some great neighborhoods to offer. Riverside is the perfect example. Just south of I-95, this section of Jacksonville is actually one of the biggest historic districts in the region. The "Five Points" area is especially interesting, as it has an artsy vibe to it, along with unique stores, coffee houses and nightclubs. If you like that type of scene, try for a rental in this section of Riverside. The Cummer Museum of Arts is located here as well, and it draws people from all over.
If you prefer a more traditional feel, you may want to take a peek at the Avondale neighborhood, which is nearby. This entire section of the city really has a grand feel, with older homes and unique properties. Finding a rental may be a bit more of a challenge than elsewhere in the city, but it can be well worth the time invested. Both historic and eclectic, the Riverside/Avondale neighborhood is definitely worth a look if you are searching for rental property in the city.