If using multiple accounts on the same computer, the easiest thing to do is just set up a separate browser for each one. For instance: Internet Explorer, Netscape, and/or Firefox. Barring that, you can log the accounts in and out on the same browser if you remember to not
click the "Log me on automatically each visit" option. And if you forgot and clicked that anyway, you can still log yourself out manually by deleting the cookies for home-school.com
(Explorer: Preferences: Receiving Files: Cookies for Internet Explorer, Tools: Cookie Manager for Netscape).