By subscribing to the security alert mailing lists, and keeping current, you
can do a lot towards securing your machine. If you pay attention to your log
files and run something like tripwire regularly, you can
do even more.
A reasonable level of computer security is not difficult to maintain on a
home machine. More effort is required on business machines, but Linux can indeed
be a secure platform. Due to the nature of Linux development, security fixes
often come out much faster than they do on commercial operating systems, making
Linux an ideal platform when security is a requirement.