We're staying overnight at an airport hotel after arrival and plan to going back to the terminal in the morning to catch the Disney transport to Dover. It looks like the Disney bus should be $75 dollars from Heathrow.
We're considering whether we want to leave our bags overnight at the terminal luggage storage for £15 each (about $19) and just take carry-ons to the hotel.
Personally, I'd keep my bags with me. I met a lady on our WBPC cruise in March who stayed at a
DCL-partnered hotel in NOLA, and somehow her luggage didn't get to the ship. She was concerned when she got onboard because the agent (at the hotel check in lobby) was giving her different luggage instructions than the other passengers on the bus. When she got onboard, she went to GS saying she was concerned that her luggage wouldn't make it to the ship. They poo-poo'd her with all this, "Don't worry; everyone knows their job." kind of talk. So she spent 14 nts with the clothes on her back.
Well, eventually she got to shop in port but I would be flipping. I'd have been calling the hotel and the luggage would be located and Uber'd or
something. She was a very experienced DCL cruiser, with many PC crossings completed, so she knew probably more than the Earning My Ears staff at GS. On her many visits to GS, they started saying, "We're so sorry you forgot your luggage." and she'd say, "No,
Disney forgot my luggage!!!"
After the many times we stayed at the Hyatt MCO and enjoyed the convenient luggage service from the room, then hearing her story, I will
never show up at the port without bags in hand. I know we're all human and mistakes can happen, but how the mistakes are handled once recognized makes a big difference.
I don't even know how she eventually got her bags because the ship didn't return to NOLA; we disembarked in San Diego.