Without machine polishing it mate then SRP followed by EGP is going to give reasonable results by hand.
You could try claying and cleansing your paint before these to remove any contaminants that may be 'dulling' the finish.
Also you could try Poorboys Black Hole... I've been having some really good results with this lately.
Claying needs to be followed by a polish. Like wise with polishing, which needs to be followed with sealing/waxing.
As stated, SRP followed by EGP.
I think I am getting old, I use to be the first to answer.
My missus said to me lets go to Alton Waters (its a big water place near us) and have a quick walk. well it was 10miles all the way round with no-where to get a drink.
this was about 1 week after I had first popped my knee and was basically limping/hopping around. She didn't seem to understand why I was annoyed. Women.