Searching for an apartment near Fort Myers, FL? Welcome to Coconut Grove, a residential neighborhood near Fort Myers, FL. For renters who prefer a calm neighborhood, less than half of households in Coconut Grove have kids. Residents of Coconut Grove are highly educated, with many having postgraduate degrees. Getting to and from work takes about 20 minutes on average. Residents of Coconut Grove may prefer to have a car, since 98% of residents get around by car.