Re: trap or lead
About 25 years ago I was extremely fortunate to have been able to shoot routinely on a military range where we could set up moving target drills using human powered targets... i.e. the people moving the target were protected by a high berm and the targets were attached to long poles. By virtue of the variablity of the walking speed, angle of poles changing, targets bobbing vertically, people reversing direction at the sound of the shot or an impact, etc., we had very interesting shooting problems to solve. The target runs were up to approximately 50M. We were typically shooting semiautos, but bolt guns were in the mix as well. We only shot these set ups out to 400M, but at those ranges and with the variability of target movement, we all ended up shooting the lead method rather than traps. Note that all of this was with somewhat antique scopes, with simple duplex reticles primarily, so trapping would have been less precise. Also, it was more of an infantry type of training not precision marksmanship. We were focused on getting a hit, and if we had to fire a follow up or two, no matter. I hesitated to even write this, as my experience pales in comparison to the other writers here. So it is offered as a sharing of an experience, rather than a suggestion of "the way".
As a side note, for me, at ranges inside of 150 to 200M I found that the number of hits was inversely proportional to the stability of the shooting position. That is, it became a lot harder for me to track smoothly if I was prone with a mover at 100M, wereas, if I switched to kneeling, I did much better. Might be obvious stuff, but it was a lesson that stuck for me.
As another observation from that experience, shooting movers with a rifle at a little distance (at least using the lead method) was the single most perishable skill I have ever encountered in years of shooting handguns, shotguns and any other form of rifle shooting. Perhaps trapping would be more durable??