Digital photography has made it much easier to travel as a photographer.  I used to have to keep a couple of rolls of ISO 1600 film mixed in with a bag full of the lower speed film I planned to use just to ensure a hand inspection could possibly be obtained (it didn't always work).    When packing for travel, here are a few things to keep in mind:

1:  Digital camera and clothes MUST travel in separate bags.  Lint from clothes is almost impossible to keep off of your camera's sensor if you made the mistake of putting clothes in the same bag as your camera.  It is easier to keep your camera's sensor clean if you take the time to pack your camera sensibly.  If it must travel with your clothes, at the very least put it in a sealed plastic bag.

2:  Camera lenses and clothes should be kept separate!  lens if you put it in a suitcase full of clothes.  Similar to your camera, the lens is a magnet for lint.  The only advantage is that your lens is far easier to clean.

3:  Lighting equipment and stands can travel in a suitcase full of clothes.  The caveat for doing this is that the flashes should be bagged and padded to prevent them from moving around too much.  I  use a carry on luggage to hold these items and use underwear and socks (in cloth bags) to cushion them. 

4:  You are permitted a carry on bag and a personal item.  I carry my flashes, and accessories in one bag and my camera and lenses in another.  I never check those items.

5:  Your camera bag relies upon its padding to keep your equipment safely stowed.  Cramming too many items with too little padding will damage things.  One of the worst feelings you can have is taking out a lens and finding a scratch on it.

6:  Batteries travel best if you take time to align them in a container that does not permit them to change their orientation or find a conductive path.  A plastic bag filled with batteries does not fit this criteria.