Nope, the Blizzard 1260 comes in one flavor for the 1200. It'll work the same if you pop it in a towered 1200.
The regular PSU that C= supplied is limited. Mine barely could run a HD and Blizzard 1240. Anything over 2 peripherals, forget it.
Piru's Blizkick is the best available. Check the thread on everything you need to get the best hacks to squeeze the best performance you can out of it. Also, his Which Amiga can tell you what Amiga you have. :-)