For first time cruiser(s) from UK with a "money is not an issue" attitude^ I would also recommend Cunard - their service is simply outstanding, and their 3 liners are really the most famous ones! I know is a little bit confusing to search for cruises when you don't know exactly what you're looking for, so I'll give 3 links for the Cunard liners where on a single page you'll see all their departure dates, itineraries - and prices, which are really affordable for that kind of big luxury ships - "big" as both ships and luxury

- For QM2 cruises see this (
http://www.queenmarycruises.net/queen-mary-2-schedule/) - rms Queen Mary 2 is a Transatlantic cruise liner)

, for all Queen Elizabeth ship cruises see this
http://www.queenelizabethcruises.net...th-2-schedule/ and the Queen Victoria ship cruises see here
http://www.queenvictoriacruises.net/...oria-schedule/.
The all 3 have short/mini cruises from 2 to 5 days/nights which are a good choice to sample Cunard and the cruise travel in general