yes.
top of the forum marked as Sticky - How To Remove Begintosearch/Coolwebsearch. use all the tools in there, plus AVG antivirus, and a half decent firewall such as Zone alarm or Sygate Personal Firewall, and you can't go wrong.
The tools in that thread aren't just for removing nasties. You should run Spybot and Ad-aware scans every now and again as a matter of course.