Tuning Lever and Beats

Hello Im new to tuning. I just started about 2 months ago I have learned to detect beats but I have some confusion. When listenng for the beats I hear a few different beats (possibly each harmonic above the fundamental.)If that makes any sense which beat should I listen for.

Also what is the proper way to use the tuning lever. I see some guys moving it in a smooth motion while other tuners use a jerking motion.

Any replies will be appreciated

Jerking motion tends to cause a more inaccurate adjustment but I suppose it probably sets the strings a little faster...