Ive used loads of stuff and used to work for Halfords many moons ago, where we were allowed to take stuff home to use it so that we could recommend products with some authority and experience.
I always start with a Halfords car shampoo. Not found a better one yet and Autoglyms is particularly poor I find.
Some will insist on using a Chamois cloth to dry the car and I have used this too, but it takes ages to dry and in the summer the water will dry and streak before you get a chance to chammy the whole car. I would recommend you try (shock!) a towel to dry the car. Now, I know some will say this scratches the paintwork... but not if you wash the towel in your washing machine just before use. Make sure the towel is still just damp and warm from the wash for best results!!! This is honestly the best method Ive found and for a quick effect just wash the car and dry it like this (having in the past applied some decent synthetic wax that wont get washed off). Id keep about five towels in various different sizes for this job. Remember also to dry the whole door frame, under the wing mirrors, inside the bonnet, under the rear windows and inside the boot. Otherwise water will linger and usually get blown out when you drive the car - ruining your carefully prepared shine!
Everyone has their favourite waxing routine with certain products. Id personally say that it depends on colour. On my pearlescent black Valver, the Meiguars range worked best for a deep shine from a natural carnuba wax at the final stage. With the Williams 449 Sports Blue, I find that Autoglyms Extra Gloss Protection synthetic wax gives the best results. Dont know why, but with the Autoglym finish the paint shines more and goes kind of purpley in the sun (of course it still does this with any other wax, but not to the same degree). I use a Turtle Wax solution for the tyres (works best on those with lots of sidewall ridges like a Michelin, try Autoglym trigger spray for Yokohama or similar with more exposed rubber/less ridges).
Dont forget the carpets either, especially in a Williams (blue carpets)! If you havent done it for a while, then the difference will be incredible. Halfords range works fine for this - and is currently half price (IIRC).