Next step is to make the rectified DC signal smoothed. I watched a couple of videos about it, namely:
Also read about smoothing, voltage ripple, etc. but I still not got around my head about the correct way to calculate the smoothing capacitors.
Probably 2x 2200uF capacitor will be more than enough, but the biggest problem I don't have these high values in my stash so for the time being I can't test the circuit.