As you're not bothered about machine polishing, decontaminating or claying then I'd agree with what the others have said, you ideally want a glaze type product rather than an abrasive polish.
If you try to use an abrasive by hand you can often end up making the car look far worse because you can't really generate the speed and heat needed by hand. A glaze will cover (fill) most minor imperfections and leave a great shine, just be warned, the finish doesn't last very long because when it rains the fillers get washed away unless you add a protective wax or sealant coat over it but be aware that the longevity of the wax/sealant is affected by the longevity of the glaze, so don't expect the wax/sealant to last as long as it's advertised on the packaging.
As for which product? The suggestions above are all pretty good. Autoglym Super Resin Polish (which is a glaze now rather than a polish) is a popular and readily available choice. It has it's drawbacks though. It can be difficult to remove sometimes and very dusty and you have to work hard to avoid getting it on your trim as its an absolute bugger to get off!
My personal favourite is AutoBrite Direct Cherry Glaze. It's very easy to use, doesn't get dusty at all, can be used on trim (honestly, its as good as many dedicated trim cleaners) it also contains paint cleaners and waxes. A 500ml bottle is around £10 from most detailing stockists (have a look on eBay etc) and there's enough in a bottle to last for months of regular applications. It's one product that I'll always keep in my kit bag.