We recently went to 64 bit over the summer. At that time our platform was on 9.2.4.x 32 bit. The first thing we did was install the all of the ESU's from the "Preparing for 64 bit" in change assistant (we did this prior to changing any of the tools components to 64 bit). As a side note, we also took UN5 during this time since we knew we were going to be performing/testing a lot of retrofits already. Once we had the retrofits tested/approved/promoted to production, only then did we begin the 64 bit upgrade process. Even though 9.2.5 was available at the time, we elected to upgrade to 9.2.4.x 64 bit, for no other reason than to minimize the variables for testing (in essence we were performing only a bitness change on the tools release, as opposed to performing a bitness change AND a new tools release).
To answer your last question specifically, yes, you will want to apply the prerequisite 64 bit ESU's before you upgrade your deployment server to the 64 bit tools release. I would also recommend trying to upgrade to the 64bit tools release within your existing tools release (9.2.4) before you try to throw 9.2.5 or 9.2.6 in the mix, just to minimize adding too many variables to an already sizeable project.
-TB