Is there a way for me to categorize my website? Sometimes at work I'll browse my website, but I never can because it'll say something like the website has not been categorized so I can't view it.
Again, dependent on your firewall at work. Some use lists that are compiled and categorize sites by type (adult, hacking, shopping, etc). If you site is not included in that list (usually based upon a reputation scoring system designed by the firewall developers) and said firewall is set to only allow access to approved categories you won't be able to, unless you ask your IT staff to put in an exception.
The SonicWall Firewall in use at my local Dr. office is that way.