Hi PJ, and welcome to the club.
I think you will enjoy your s type -- when you get used to a few things!
I had a River Sterling with all the trims including Burr Walnut, which I liked. I soon got used to the Maple, though.
My steering wheel is wood and leather which did not need any dye BUT my drivers seat did. The seats were Dove Grey, which I found was an optional extra which the first owner required and suited the car. I managed to find a company called Furniture Clinic which also provides leather treatment for cars which I recommend.
My air con takes its time to get very cold but it does not get very hot and I have found it OK for the 7 years I have had the car.
Don't worry about uninflated tyres - the air could have been expensive where the previous owner lived, The handling of my 2.7 diesel is rather good. The rear wheel drive pushes the car round corners,
Let us know how you go in the next few months.
Regards,
Peter.
P.S. Not my house.