Okay, if you only need 20KHz bandwidth, I'd definitely roll off the gain with some small capacitors. Try 220pf across each 470k resistor for starters.
Ans since it's coming from a coil, there's no DC that you could ever want, so please put a Dc blocking capacitor between the stages. That will get rid of 83 times of your offset problem.
You definitely need to put the amplifier in a metal box, so you should run your coil thru a short cable to the amplifier box. the IC's should be separated by at leasty an inch or so from each other, each one decoupled from the plus and minus supplies with 100 ohm resistors and
100 uF capacitors.