Alright, I am going to make my prediction on the Kyurem forms:
Type: Dragon/Ice for both.
Ability: 1.5x boost to Electric/Fire attacks; grants immunity to respective types(as well as Burn immunity for White Kyurem). Also ignores Mold breaker/TeraVolt/TurboBlaze(I know this going a little far, but it's really more so that Reshiram can't use Fire on White Kyurem).
HP: 125
Att: 150/130
Def: 110/95
SpA: 130/150
SpD: 95/110
Spe: 90
Total: 700
HP never changes between forms. 150 in the higher Attack stat is expected. The lower Attack stat stays the same, as if you look at White Kyurem it looks much more physically stronger than Reshram. The higher Defense is also a hybrid, made a little more higher just because Kyurem is taking the genes of a very Physical/Special influenced Pokemon. The lower Defense gets a small boost since it is 100 for Z/R. Speed lowering makes sense, as Kyurem probably gets bigger, and thus slower, giving it the same speed stat as Z/R (again, prevents the original Kyurem from being completely outclassed). The total of 710 may seem high, but I think +50 would justify absorbing a 680 BST Pokemon's genes a little better than +40. Overall, 2+ to the Physical/Special stats, and a swap between Speed and the lower Defense.
EDIT: Turns out while I was editing stats, it actually was 700, not 710. Must have typo'd while using Window's calculator. I take back what I said, 700 is better. 660(Normal Kyu) -> 680(R/Z) -> 700 (BK/WK) -> 720 (Arceus, maybe "Ultimate" Kyu).
As for Freeze Shock and Ice Burn, I speculate that there will be a held item; the God Stone, than not only gives a 1.2x boost to Dragon/Ice/Fire/Electric attacks, it could also removes the charge up turn of those two attacks. While GF is infamous for not fixing "cool and powerful" attacks like Hyper Beam and Sky Attack, it wouldn't surprise me if GF wanted kids to use a "cooler" item than just a "boring" Power Herb to power up the two attacks, which pretty define BK/WK themselves. The charge up would also help less experience players it helping them catch them during the end game, as constant 140 power attacks would be too much too handle for the less experience.
Finally, as for movepool, I can't really tell if BK/WK will get Z/R's movepool. They probably won't get Bolt Strike and Blue Flare, but at the very least, expect Fusion Bolt and Fusion Flare.