Sounds like a job for an auto-zeroing op amp. Linear Technology have been making them for many years, though National Semiconductor and Analog Devices also introduced useful products some years ago.
+/-17V is a bit high for this sort of amplifier - the Linear Technology LTC1150 is the only one I know of that comes close, with a maximum supply voltage of +/-16V. It isn't cheap - at about $5 in small quantities, while the lower supply voltage parts come in under a dollar. and the input currents aren't all that low, at around a nanoamp, while the lower supply voltage parts claim tens of picoamps, but the input offset voltage is 0.5uV typical, +/-10uV worst case.------------ Bill Sloman, Nijmegen