I have learned about pinching tires the hard way, twice.
removing them, or installing them the key is get the bead into the recess in the center of the rim first, and small bites. small bites, small bites. Move only 3 inches of bead over the lip of the rim at a time. no more.
I pinched 1 and cussed like a sailor. Tried to patch it. I found patching the tires impossible I could not get it to work, not even one time. Just would not stay.
watched a lot of vids on youtube and learnead a few tricks about installing them correctly.
lastly, yes, you lay the tire down and insert the innertube, inflating it partially. You needn't lube the inner, you can baby powder it if you want...the rim needs a thick lube like grease so it doesn't flow away from the friction. If you want leeway to shove the rim over the first bead, make sure bead is set in the recess in center of the rim, or it just won't go. Simple as that. you'll be able to push about half of the rim over the tire if it's in the recess, then use tiny bites with the irons to move it around the rest of the way, and use whatever you can as stays to keep what's over the rim locked down.
if you're gentle and take your time it's not hard, just takes calm and patience. You should now have one side over the rim and the stem is ready to be pressed thru the hole. Do it before and it can move around or tear out at the stem (that was a stunning moment, tore it out at the stem by puttin on the lock nut too soon!)
now for the finale. Flip it all over. last bead to be fitted facing you. you're gonna need to get the bead down into the recess again, and keep it there so you have enough slack to start the bead around the rim. I press mine in place with a round piece of copper plumbing joint. if the bead is lubed (essential) and it's in the recess, you'll have slack all the way around until the last 4-6 inches of bead to go over the rim. Take tiny bites, and use some spoons or whatever to hold what's gone over the rim in place and prevent it from sliding back free.
if you do it all right each side takes about 5 minutes of patience, not popped tube, and you'll need smoke when you're done.
The other key thing is not to push the irons into the tire without feeling with your fingers how close it is to the tube. Just a gentle feel with your finger will usually press it out of the way. I only put about 1/2 an inch into the tire/over the rim to lever. More than that is asking for a puncture.
Good luck
Drewcifer