Since we were headed to Florida and then down into the Caribbean, I looked at feeds that would be helpful for that area and determined four that would be helpful:
General: The Weather Channel @weatherchannel
American: National Weather Service Hurricane Centre @nwsnhc
Atlantic: National Hurricane Center Atlantic @nhc_atlantic
American: National Oceanic and atmospheric Administration @noaa
While there are a lot more feeds out there, I went with ones that were well known or at least had a government backing as I figured that they would have higher end equipment for more accurate results. To help with keeping up to date on the trip I also followed the cruise line and couple of local meteorologists.
Update, Sept 20: In the end, this hurricane season was not that bad so I didn't need to be fully prepared but it was nice to have the piece of mind.