So to make my life easier, i want to only use one power supply. Thus i need to generate the negative voltage.

Get ready for some op-amp magic:

By setting the positive input to roughly 1/2 Vin and creating a feedback loop, i can use the output of the opamp as a "virtual ground".

MAGIC!

Adding a push pull transistor pair further increases the current capability of the output. However, this circuit is still pretty limited current wise but fine for our puroposes.

-> Just make sure to also use the virtual ground for any scope measurements

Adding this to my breadboard setup, it still works super fine