Opamp Design for Low Impedance Sources?
Apart from the TL074 requiring a minimum power supply of 10 volts to guarantee working correctly you are facing a big up-hill struggle with this idea. I wouldn't use a site that recommends running this chip (or the TL064) from a 9 volt battery.

Consider that a proper humbucker has maybe 1000 turns on each pup and this means that for a certain string vibration you'll get 1000 times the signal compared to a single turn.

Then, because the basic output signal is so low, you are "fighting" hum and noise from other sources (such as the basic wiring from your masterpiece to the pots and the jack socket). This hum/noise cannot be countered by the hum-bucking principle.

Added to this, you might use an op-amp with a moderate noise performance to keep hiss at bay for a normal humbucker but, for your masterpiece you'll need a noise performance that might be 1000 times better. A typical reasonable audio op-amp has a noise spectral density equivalent of about 10 nV per \$\sqrt{Hz}\$ but money won't buy one that is 1000 times better.

Forget this crazy idea and wind more turns and get more signal.