you'll have a job doing it by hand. Expect lots of hours of elbow grease and only semi perfect results
Best way to do it is with a machine polisher. Check http://www.detailingworld.co.uk/ for more info as a lot of the places that sell them will be OcUK competitors with OcUK selling mequiars stuff.
Have a search for the Meguiars G220 Dual Action Polishing Machine. You want something like this. Check DW for cheaper alternatives though.
Meguiars Stage 1 Paint cleanser stuff, followed by Autoglym Super Resin polish would do a pretty good job, it would get rid of the minor swirls and fill the slightly larger ones.
As already mentioned, a machine is the best way to do it.
I use a PC with Megs Pro compounds #80 and #83 and that has dealt with anything i've used it for, including a filthy Rover 600 that looked like it had been cleaned with wire wool.
Honda's have soft paint, so the #80 is usually enought for my car, and works very well.
I have used Sonus and Lake Country pads and couldn't really tell the difference. I only use the medium and harsh pads - i've never seen the need to use a finishing pad.
If you are down my way, let me know and I'll do a panel for you.