Is there any way (short of getting an active directory browser) to view my OU while logged in to the domain?
Here's a quick VBS script you can use to display your account's DistinguishedName attribute which contains the OU that your account is in:
EDIT: I should say that it will display the DN of the account in which context the script is run...
User: adfind -sc u:%username% dn
Computer: adfind -sc c:%computername% dn
Adfind available at http://www.joeware.net/freetools/tools/adfind/index.htm