Portal
Make sure users are given a shortcut to http://portal.microsoftonline.com/ this is the main entry point into all Office 365 resources. Once they get into some of the deeper functions (Outlook, Sharepoint, Etc), there is no way through the interface to get back to the portal. The portal is also the only way to get the download files for Office.
Outlook 2007
Outlook 2013 and Outlook 2007 do not get along. 2007 profiles will load in 2013, but it will convert them and they will be unusable in the older versions. Even viewing the profile from the 2013 interface may cause the conversion to occur. Outlook 2010 seems to be fine and you can open those profiles without issue, although they will go through a conversion process the first time
Remote Powershell
To Connect
$UserCredential = Get-Credential
$Session = New-PSSession -ConfigurationName Microsoft.Exchange -ConnectionUri https://outlook.office365.com/powershell-liveid/ -Credential $UserCredential -Authentication Basic -AllowRedirection
Import-PSSession $Session
When Done
Remove-PSSession $Session