Personal perference is to cook it all the way thru to where the bone wiggles free, then a short rest so it's not screamin' hot, break into several large chunks (softball sized), bag & chill down quick in an ice bath.....
Re-heating seems to go a little better using the large pieces as opposed to fully pulled / shredded....
Stays more moist that way......
I start the re-heat in big chunks & pull as it warms up a bit......seems to go pretty well & if it seems a tad dry, add in a little apple juice or mojo cirrillo liquid.....
Have a great dinner, or series of dinners it appears this is going to be ......