Very important job Tim and often overlooked, Back when I had Hire cars this Tim was what separated the professionals from the weekenders Tim right down to the type, placement and amount of lubricant used on striker catches and hinges Tim.
I actually used to wash the jambs out with a car wash brush and suitable car wash detergent, use an old Chamois or Enkafil to dry then compressed air dry (With moisture line filter) and then wax and buff with a small electric shoe polisher/buffer.
As some cars have Chrome work in the Jambs and detailed footplates these would get a scrub with the brush attachment on the shoe polisher to get any grime out of the etchwork and then a quick buff with bees wax which protects but does not add a glossy finish.
On leather I used to use Leafood, an excellent quality leather lounge product recommended by Moran leather and my English skins did very well with it as well as adding a pleasant smell to the interior that many clients commented on favourably Tim.
One substance banned from all of my cars is Silicone BTW and it would behove you to check car care products for this nasty stuff Tim as it never goes away 100% and can cause allergic reactions which was an advertising point for me especially after a large limo company had an incident where a svelte young executive lass turned into the goodyear blimp on an airport transfer due to an unknown allergic reaction to silicone products used on the car.
Another girl i know bought her dream car (300C wagon) and sent it to be detailed a few months later and had a nasty reaction to whatever they cleaned the steering wheel with, once again a silicone based product.
Spraypainters hate it too lol
Hope you find this useful Tim.
Tony