Welcome here mate,
You mention watching hunter vermin vids on youtube. They are all cracking to watch as are Zini's films. But just remember hunters vermin does use all FAC rifles!!
Any way we all did start somewhere at the bottom and all the best on the massive learning curve.
One final thing to remember is that the rabbits and pigeons that you will be after have amazing instincts and will do everything possible to avoid being shot!! Rabbits will here the slightest noise 100 yards away and be gone before you know it. Pigeons see a bit of your flesh and the same gone before you