I would recommend the Hilton Grand Vacation Club on the Las Vegas Strip (beware there are three Hiltons - this one is referred to as "on the Las Vegas Strip" to avoid confusion).

You can see the rooms on the link above. See my review here. If you got a two bedroom suite I think this wold be just what you are looking for.

Also note you can get it virtually free if you can sit through a three hour timeshare condo presentation.....

PS bagpuss - love the handle!!

Do check back on the prices at the other hotels you mentioned as they do come down nearer the time, and if you can get put on the email lists you get sent some great discount codes.

If you are coming from the UK as your handle suggests, note www.maxjet.com have some great £599 all in return fares in business class Stansted to Vegas direct.