Putting on my sawyer hat for a moment. . . .
Apple is a real pain to dry, and apple branches are worse because they grew under tension. Not saying it can't be done, but that you may not have much luck.
For my own use, I saw them into 5/4" (no thicker) boards with the band mill or on my bandsaw. As Black Hand has said, coat the ends of the boards with glue (I use Titebond II, because I buy it by the gallon anyhow). Once dry, place the boards in your freezer, with spacers in between. Leave them in there as long as you can--a year is not too much.
When you cut them to length for projects etc, expect some loss due to checking and tensions in the wood being released. Cut oversize--maybe an inch or so long at each end.
Good luck.
Jim