I've started to accomplish this in two ways...neither of which yield particularly spectacular pictures, but manage to get me in the picture without handing the camera to my husband and saying "Take my picture!" *Examples are from my recent trip to Israel.
One: I hold the camera at arm's length and take my own picture.
Me, with a cute little snowman in Jerusalem!
This is me, on top of Masada.
(See another example here.)
Two: I take pictures of my feet, my shadow, or my reflection...personal documentation!
Me, in the individual screen on the airplane...
My feet (and my brother's) in Jerusalem.
In the Valley of the Communities at Yad Vashem, Israel's Holocaust Memorial Museum.
My feet on the Golan Heights
A meeting of Quilters (including me) in Tel Aviv!
How do you get yourself in the pictures?
This is what works for me!
See what works for other people here.