Bedside mode capability for iphone

I don't think there is, but some apps do have a silent mode that allows you to restrict notifications between any given two times of the day.  You could also turn off notifications before you go to bed or put the phone in silent mode, but it's not quite the same, I'm afraid.

Alternatively, turn on Airplane Mode, it won't affect your alarms, but it will stop any internet-triggered notifications

I don't think there is, but some apps do have a silent mode that allows you to restrict notifications between any given two times of the day.  You could also turn off notifications before you go to bed or put the phone in silent mode, but it's not quite the same, I'm afraid.

Alternatively, turn on Airplane Mode, it won't affect your alarms, but it will stop any internet-triggered notifications

I am migrating from BlackBerry to iPhone and can't figure out how to turn off all notifications and sounds other than the phone ringing and the alarm clock so I don't have this thing buzzing, lighting up, vibrating and whatever it likes to do at night.

http://manuals.info.apple.com/en_US/iphone_user_guide.pdf

Do you see that feature in the User Guide?  If not, it doesn't exist.  No secret functions.

I am migrating from BlackBerry to iPhone and can't figure out how to turn off all notifications and sounds other than the phone ringing and the alarm clock so I don't have this thing buzzing, lighting up, vibrating and whatever it likes to do at night.

http://manuals.info.apple.com/en_US/iphone_user_guide.pdf

Do you see that feature in the User Guide?  If not, it doesn't exist.  No secret functions.