By subscribing to your team schedule, any changes made to it (e.g. rescheduled rain outs) will automatically be synced to your calendar.
The following videos have been made to demonstrate how to subscribe to your team schedule with the most popular calendars:
For iPhone, you can do the entire process from your phone.
IMPORTANT NOTE: If you don't see the Accounts & Password under Settings, look for Mail, Contacts & Calendars.
For Google Calendars (Android phones), you have to subscribe to the schedule when logged into the desktop version Google Calendar.
IMPORTANT NOTE: The mobile version of Google Calendar and the Google Calendar app do not to let you do this.
IMPORTANT NOTE: If you've completed the steps in the video and your team schedule does not sync on your phone's Google Calendar app, make sure the schedule is enabled for sync on your phone, under Google Calendar -> Manage Calendars.
IMPORTANT NOTE: It can take up to 24 hours for changes to a schedule to sync to Google Calendars. Don't shoot the messenger... :)
For Outlook, this video was done using a desktop version