I've always stayed at Elara (Hilton) in the center of strip behind Miracle Mile shops next to Planet Hollywood. But I will be staying in Vegas early March and prices everywhere are again much higher so have checked around and can't find anything less than around 100GBP for this hotel which I love staying at which is insane even though it's a great hotel with high ratings.
I'm gonna choose the hotel next to it which is Marriott Grand Chateau for nearly half that price so still reasonably central... opposite Aria/Cosmopolitan etc - both have excellent customer ratings, among the highest. If I am on the strip I want luxury at affordable prices and don't want to pay resort fees either (up to $30/night). Grand Chateau has free internet & valet too.
I can then choose my fave casinos to gamble in later if I so wish
You sound English... try hotels.com Bookings.com Trivago.co.uk and the usual ones like expedia - prices don't vary that much. I get 10th night stay free with Bookings.com