Since font is a major part of design, it’s important when designing a website that you use web safe fonts. Changing the font can change the look and feel of a website. Until recently, only fonts such as Arial, Georgia, even Comic Sans could be used. Even then, it wasn’t a guarantee that if you used Georgia on your site, that Georgia would display in everyone’s browser.
Google has done an awesome thing by making a huge bank of web fonts (currently they have 617 font families) for all to use on their websites and in their designs. Font styles range from display fonts to body copy fonts. These days, you don’t have to use images for your ridiculous font choices, which I’m sure helps SEO, but makes the website cleaner and light weight. All it takes is one line of code in the <head> of your website and the font-family in the css.
Another way to get that specific font you want is @font-face. You can do this on Font Squirrel. You can either choose from already made font face kits, or make your own with the font face generator (If you do this, you have to make sure you have the rights to do so. Some fonts are black-listed.). The @font-face technique is a little bit more DIY as it requires you to download the kit and make all the proper links, but the pro is that you host it so the link will never break. Those are a few more options out there for web font choices such as Font Shop and Process Type Foundry which you have to buy the licensing for.