We're thinking of going to the Everglades National Park area next winter and are looking for full hook up campgrounds in the area. We don't need all the bells and whistles just laundry, restrooms,  and showers. Anyone know of anything close?

Florida City has a city run campground that is about as close as you can get to Everglades National Park.  It doesn't take reservations.   It is listed in the Trailer Life directory which gives rates of $18  to $22.  There are some other campgrounds in the area, but they are more expensive.

There is an entrance to Everglades National Park in Everglades City as well.  This is close to Naples which has many campgrounds in the area.

The closest RV park is on Chokoloskee Island: 

http://www.chokoloskee.com/index.html

It's not cheap, but a beautiful location and close to the park.