2016-10: this project is now shelved. The probe point of my Tektro scopes have insuficient amplitude...
This project is more about designing an energy-harvesting device that can accomodate various oscilloscopes, rather than design the best differential probe circuit. I am not skilled enough to develop such delicate and precise analog circuitry but I am able to design a step-up power supply. I hope to learn more about oscilloscope black magic as well ;-)
Logs:
1. BNC trick
2. Hoarders' delight
3. System analysis and design
4. Amplifier design
5. BNC mess
6. Input FET stage
More links to (active and passive) probe designs (from https://hackaday.io/page/2628-needing-p6243-or-similar-1ghz-active-probes/discussion-72392) :
http://paulorenato.com/index.php/93
http://www.eevblog.com/forum/projects/good-design-for-a-diy-active-probe/
https://easyeda.com/andyfierman/project-g2QNnljhf
https://easyeda.com/guest/High_impedance_probe_using_opamp-gmtnFzRL3
http://www.sigcon.com/Pubs/straight/probes.htm
(thanks Ted)