Agreed. It's a skill you have to build. You absolutely should NOT be damaging yourself, your tires, your tools, or your wheels. STOP and THINK if you're getting frustrated or starting to apply too much force.Honestly the tire tools are less than 1/2 the equation. Technique is the lions share of getting tars installed
I carry three lightweight 8 inch tar arns in my tool kit and can break the beads on tubed and tubeless tires and do a complete tire change with them. (Seriously, some of the deadly stupid crap you see around breaking beads is mind-boggling.)
I use squares from beverage bottles as rim protectors, and have never gouged a wheel or damaged a tire. At home I use one longer Motion Pro tire iron to speed things up, but it's not necessary.
There are skrillions of good (and lots of dangerously awful) Youtube videos out there, but tire changing is one area where I think in-person coaching might be a really good idea if you're not grokking things right off the bat. I've shown several riders how to change tires using the simplest of tools. I've used a No-Mar, and considered buying one, but it takes up a lot of space and there's little advantage in speed if you know what you're doing with simple tools.
There's still a fairly steep learning curve, and you have to build some experience... most people I've coached decide they could probably handle it in a pinch, but will continue to pay me or someone else to mount their new tires.
Before getting all mixed up with motorbikes, I was a fairly avid bicyclist. I think perhaps that experience with smaller tires and tubes really helped. Motorcycles are the exact same thing, just scaled up immensely. I've never pinched a motorcycle tube, probably because I got all my tube-pinching out of the way on bicycles at $4 a tube instead of $20. You have to learn the angles you can't exceed, and develop a sensitivity to trapped rubber.