I honestly cannot remember the last time that I actually broke a string. Maybe 20+ years ago?? Maybe you need to ditch the Heavy picks....? Loose the "slinky" strings....? Graph tech nut.... (or nice filing) Bridge saddles = same thing. (maybe get some "Nut Sauce)
http://www.zzounds.com/item--BIBGRVLBR No sharp spots on either - It's all in the "dynamics" Cliff.
Take your guitars (all but one -> the PRS 24) give them to your local tech (trade him an AXFXII for lifetime setups and pick up changes etc. - he should jump at it - or just give him some of the $$ you got from us... (LOL)) have a consult and tell him you are breaking strings often (to the point only one has a full set). Give him a few weeks with the first batch. Then pick em up and hand over the last one that you kept. Have him set it up and dress it correctly. Take it home. Lighten up on the pick death strangle grip, if you are not already using them, try a 10 gauge set, (I like custom gauged with a little heavier on the bottom 3. I like the tone and feel of this solid Nickle set in particular,
http://www.juststrings.com/ghs-r-plus-ejl.html and if you are a busy guy (Yes you are) these are great as they last longer and have a bit fatter bottom strings (.052 vs. .050) , which I like on certain guitars
http://www.juststrings.com/elx-12077.html
but there are sooo many choices and preferences. loosen up your grip on that plectrum (this may take some time and you may initially drop a few picks). Delicacy here is where tone all begins. Never lock down on that pick. FEEL IT. Once you master the light grip, you can go with a heavy plectrum if it's your thing. Some guys around hear even use stone, shell, metals, etc.. But, they have mastered the light touch and even they rarely break strings.
Once you have done the above .....forget about breaking your strings. It should not be a regular thing where all but one of your guitars have broken strings.
Spoken with love man.