unclelouie, make sure that the leads at the outputs of the transformers are the minimum length possible (certainly no more than a foot or two), since any capacitance in that part of the cable will cost you in terms of audible high-frequency response.
Since the AT 822 has unbalanced outputs, I realize that it's tempting to place the transformers near the microphone so that your signal lines will then be balanced, giving you much better immunity to hum and buzz and hash (of the wrong kind) being coupled into the cable. That would be a big mistake. Instead, to get that improved noise immunity you can use the same trick that Neumann does in their FET 100 microphones: You can convert the unbalanced signal to a balanced signal at the microphones without a transformer, then feed that signal via balanced cable to the inputs of your transformers. If you're interested, I can explain how this is done in a separate reply--it would take a little research and a little skill, but it's not overly complicated.
Also, don't go for subminiature transformers with large voltage step-up ratios such as 1:15 (or even 1:25) even though these may be available from some pretty good manufacturers. Transformers like that may seem to offer you large amounts of "free voltage gain," but such transformers saturate rather easily, especially at low frequencies. You may find that suddenly, the recorded sound "chokes" completely and no music can be heard. Stick with a more modest step-up ratio, and/or use transformers of more substantial size that can handle the full signal strength that you need.
--best regards