RC Circuit suggestions
For the neon bulb the turn-on voltage is about 70 V and the turn-off voltage is about 50-60 V. Make sure there is a current-limiting resistor of at least 10 kΩ. Don't crank the power supply much higher than 80 V.
For the integrator a capacitance of 0.15 μF and a resistance of about 2k
Ω and a frequency of 2 kHz works well.