Our office is unable to offer this kind of service.  According the website of the Florida Fish and Wildlife Conservation Service, "A landowner may lawfully live-trap nuisance opossums using sardines or cat food as effective bait. It is unlawful to transport nuisance opossums, other than for the purpose of euthanasia. Relocating wildlife is seldom biologically sound, the animal often does not survive."

The problem animal might be an armadillo, but some of the same comments would apply:  http://myfwc.com/WILDLIFEHABITATS/SpeciesInfo_Armadillo.htm

The Florida Fish and Wildlife Conservation Service maintains a list of registered wildlife trappers here:  http://fwc.myflorida.com/fwcwww/fwc_www.nwt_nuisance_wildlife_pkg.nwt_active_trappers_rpt_pr