I bought a rotary polisher off ebay (its a makita) was pretty cheap
A good package of pads/products is the
3m perfect it range it's colour coded so you cant go wrong..
The general process is like this....
1.jet wash car
2.snow foam (if you want)
3.rinse
4.wash with a good quality shampoo (I use megs gold class).. make sure you use the 2 bucket method and NEVER use a sponge only a lambs wool wash mitt
5.clay bar
6.wash again
7.dry with a good quality drying towel
8.inspect your paint and decide what you need to do
Your paint looks like its been through a car wash every weekend and washed using a sponge!! Sponges act like sand paper on your cars paint as the dust/dirt sticks to the surface and becomes an abrasive layer.. this is why you need to use a deep pile mitt.
Go round the car and inspect any scratches.. anything you can feel with your thumb nail will not be able to be polished out completely BUT you will be able make a significant improvement.
You will be able to get a 60% (ish) improvement without using a polishing machine and just using something like poor boys black hole by hand... you might want to do this first before you get into machine polishing.. If you were to do this then I would go poor boys.. then a good quality wax... then a something like megs liquid wax to finish.
Now IF you want to machine it.....
1.get yourself a strong LED torch
2.pick a panel to start on and mask up shut lines, rubber trim etc
3.split the panel into 2-4 sections depending on the size
4.start with a soft pad and light polish first on a slow speed and give the area a pass. The important thing to remember is to give keep the rotary moving to stop heat build up which will knacker the paint. Make sure you work the polish out properly then wipe over with a microfiber cloth.
5.get your LED and inspect the area.. how does it look.. if it still looks **** work up to a harder polish/pad compound. Remember harder pads and more aggressive polishes WILL leave marks on your paint that will have to be refined out again by working back down to a light pad/polish
Pull away the tape between to section ... eventually you will get to a point like this
This shows a 90% reduction in defects which I was happy with..
There is a very good and very in depth
guide here
http://www.google.com/url?sa=t&rct=j&q=detailing%20world%20machine%20polishing%20guide&source=web&cd=1&cad=rja&uact=8&ved=0CBwQFjAA&url=http%3A%2F%2Fwww.detailingworld.co.uk%2Fforum%2Fshowthread.php%3Ft%3D66024&ei=0CjYU_T4DK3H7AbF-oHwDw&usg=AFQjCNFSK_RPtMRWZxVbo8KyO2Rh89Zqmg&sig2=S7HtvSfozJh5aNpS4xwg9g
The R32oc also has a very good detailing section
My top tip is make sure you dont use too much compound on the pad and work it out properly or you will be left with buffer trails.
You have a black car I feel you pain
50/50 on the rear bumper
before
after
Im by no means very good with this stuff but im learning