How much does it cost to rent a cruise ship? Roughly?
Depends on how big you want it to be I mean how many persons will have to get on board because it will be useless to rent a cruise ship that has 250 capacity when there will only be 20 persons on board
This is why I recommend a Catamaran or a Gulet, the experience will be much more interesting and we will save a lot on fuel

I wanted a swimming pool cause it would be a fun addition especially if we wanted to organise competitions, etc, but it's not a deal breaker I guess.
A Catamaran, with or without sails?
If we get a Gulet, I know how to sail, but we would need a few more ppl on board who also know how to sail, it's a team effort, plus I wouldn't be stong enough for some tasks if it's a big one, and I'm scared of heights i.e. climbing up the masts is a no-no for me.