Antenna Booster for 2002 Golf

My 2002 Golf has a factory radio (non-Monsoon system).
It works fine, except some nearby stations really fade
quickly as I leave town. I drive 45 miles to a nearby
town a few times every week and these stations are
nearly gone after about 20 miles. These are both AM
and FM stations with talk radio programs that I like.

I suppose the problem could be that these are just
low-powered stations and I am out of luck (can't
amplify non-existent signals).

Anyway, I visited a local car stereo place today and in
a moment of weakness I bought an AM/FM antenna booster
for $20.

I've never installed any kind of car audio equipment.
Is this sort of thing easy to do? Will I need to remove
the radio? If so, will this cause problems with the radio
(password/whatever)? Do I need special tools?

Also, someone told me my car already has an antenna booster.
How do I check for this? If so, I guess I should get a
refund for my booster (unless it's okay to use two boosters).

I appreciate any help anyone can send, as I am clearly a rookie
and need help!

Thanks.

--
David Swanger