I would imagine, from your description, that this is indeed where claying comes in. It removes the bonded contaminants, and leaves the paint very smooth and free from the crap you mentioned :) You may choose to use a tar remover, such as tardis, if you don't wish to clay, but I wouldn't if I were you.
To clay, you need a clay bar and some lube.
My reccommendation is:
Lube (The concentrate will last you ages. You'll need to get a bottle and chemical resistant sprayer.)
I4D Clay
This is the clay I use, and have found it to be adequate.
One issue with claying is that if you do not do it properly and don't use enough lube, you may end up with some marring. Also, some people (myself included) believe that claying removes wax layers, but as far as I know, this isn't absolute fact!!
Hope that helps :D