think there is a car park right next to the terminal but it depends on how long you want to park for. you travelling or dropping off? we always go in the long stay and there are regular buses back and forth and its quite close to the terminal. less than a mile.
There isnt really a best one. All served well by the shuttle bus.
We use the premier parking and it means you just drop your car off at the site and pick it up when you return. They park it and retrieve it before you return. Not much more than the normal long stay tbh.
The sky train escalator thing links all the terminals so theres no point in rushing to your terminal if you have plenty of time. Just get off the shuttle and mooch along
Used the airport valet parking last year, was about 60 quid for a week, but trouble free, quick and right next to Terminal 2. There are the usual car parks with buses if you are prepared to wait a few minutes. Look on the airport website.
I usually book terminal 2 long stay through APH airport parking. It's only 5 minutes from the terminal and buses run every 5 minutes, there are multiple bus stops in the car park itself.