If your running Windows at home there are a few things that can help you secure your computer:
Keep your operating system up to date.
Keep your web browser up to date (update any software when patches become available)
Install an up to date virus scanner and update virus definitions as soon as they become available
Log into windows as a regular user and only use the Administrator if you want to install or configure your operating system
Buy a router and configure a local network at your home. Make sure to set a default admin password and enable encryption (for a wireless network)