Gore had the right to request a hand recount in each of Florida’s 67 counties—the request had to be made county by county—but he asked for a recount in just four: Broward, Miami-Dade, Palm Beach, and Volusia. All of them were populous and heavily Democratic.
The thing about 2000 that we often forget though I'd that as messy as it was, the result was basically correct. The supreme court did is all a disservice with Bush v Gore (which I read the other day has only been cited at good case law on a single Court decision since, and only by Thomas in a separate opinion), because it's been written since that Bush actually did win now votes in FL. The recount wouldn't have changed the result. 2000 could have been remembered as messy but a good lesson is patience while votes are being counted rather than a partisan power grab by the GOP had it not been for that horrible decision.