We've left the RV while we cruise before but never out of Port Everglades. All we've ever done is just find a CG in the area and leave it there. Some ports have RV parking but they don't have electric hookup and ports are never in the best part of town so I never liked the idea of leaving such a tempting target for the local thuggery.
A CG may be more expensive but is more secure and when you return all is the way you left it. Probably not the most economical solution but it works for us. We just take a cab to/from the cruise terminal to avoid the extra expense of toad parking at the terminal.
Looks like there are several CGs in the area of Port Everglades but winter is peak season so spots may be scarce.
When seconds count, the police are only minutes away.
2019 Newmar Canyon Star 3627 on a 2018 F-53 26K chassis w/6 speed transmission
2017 Jeep Wrangler JKU with Ready Brute tow system w/Currie Tow Plate
Titusville, FL when not on the road