You can use nice custom fonts for your site, just understand the limitations. Here is a good "how-to" for adding fonts to your site: http://www.fuelyourcreativity.com/how-to-use-custom-fonts-in-your-web-designs-with-css3/
If this seems like too much work right now, stick to the short list of safe fonts below. These 12 fonts are installed on both pc and mac and are considered as 'safe'.
- arial
- arial black
- comic sans ms
- courier
- courier new
- georgia
- helvetica
- impact
- palatino
- times new roman
- trebuchet ms
- verdana