The most important thing to know is that the rules vary. Some casinos still enforce the betting line (or at least they did pre-Covid.)As someone who has only been playing serious poker for a little over a year, I would like some clarity on this. When considering my bet, and formulating how much I want to push out, I'll often grab a stack or a few chips and begin to stack and count them next to the rest of my chips. Sometimes adding more or taking some away before eventually pushing out and/or declaring a bet amount. This new stack might be somewhat forward from where they were. But it's well back of the printed betting line on the table we play on. Are you saying as soon as I move chips forward and let go of them, that's my bet? Because that's never been called on me by my group. I've always been of the impression that we do consider the printed line on the felt to be the line of demarcation regarding placing a bet.
What you describe is common and fine - cutting out your chips in the 6-12 inches in front of you is good everywhere I’ve played. But at a home game (or a casino) just ask when you sit down. That’s exactly what I did when I played a game where the table had a racetrack and everybody kept their chips on the track - is it okay to cut out my bets in front of the track?