Don't confuse programs with the fonts themselves. For a long time, websites could only reliably use fonts that end users were likely to have already installed on their computers. Now you have various options, like linking to online services—like Typekit, Fontdeck, Google Fonts etc. that serve up the font files remotely—or uploading the fonts to your website and letting the end user download them ... although you can't do that legally in many cases. (A site like FontSquirrel has many free fonts available for use that you can upload to your website and link to via CSS.)
And what about web-based fonts? I think Adobe has two or three separate font programs, but I wondered if WordPress or Drupal might have their own font programs.