Len,
Hauling gear to the range is a necessary evil. I bit the bullet a long time ago and bought a couple of Filson canvas bags that have been the answer for keeping all my stuff organized and for throwing into the back of the truck loaded. They are big enough for ammo, spotter and stand, data book, targets, stapler, Brownells screwdriver set, boresighter, a tool bag with Torx, allen and 1/2" wrench for the side nuts on tactical rings, lens cleaner and still have room for other stuff as needed. We also have some hard tool-boxes about the size of tackle boxes for extra gear if needed but the Filsons do it for me. Also have some other canvas bags for organizing the muzzleloader accessories when I shoot the smokepoles so I just grab whichever bags I need. Always a good idea to take lots of stuff to the range, never know if something needs tightening or if someone else might need a hand with a fix.
As for zeroing, I start by using the boresighter or even eyeball the bore to the target at 25 yards. Put up a big sheet of paper so the bullet has to hit somewhere on it. Fire and move the crosshairs to the bullet. One more shot at 25 does it, then move to 100 and repeat. Trick for me is to use big paper or cardboard so I catch the bullet somewhere, move the crosshairs to the bullet with the rifle locked steady, takes only a few minutes to zero with minimum ammo and effort.
Have a picture of the Filsons if you would like to see them.