I use a range bag to carry my pistols and mags, and miscellaneous stuff, out to the range. It holds my ear protection, gloves, staple gun and staples, tools, cleaning supplies, binoculars, multitool, etc. Easy to carry, keep your gear organized, and out of sight.
Long guns go into Plano gun transport boxes, and I carry each one to the firing line separately, then put it back and grab a different one.
I have a tactical vest, and I agree they will come in handy if SHTF. To use one on the range is over the top, in my book, and will make you look like "that guy" - there is always one. They really belong on the range during a training course. Some people swear you should train like you fight, and that is understandable. If your range allows it, and others wear it, I would say go for it - my range is more of a family range - parents teaching their kids, hunters sighting in, people plinking and practicing, or just having fun. A guy in a tactical vest would look kinda dorky.
I do own one, and I practice using it - I just do it in the privacy of my own home. I have a chest rig, a thigh rig, several gun belts, bail out bags, etc. I do not use them at the range. No sense spooking the neighbors or other range users. Save the vest and related tactical gear for training courses, or for when it is justifiable to wear one. My two cents, anyway.
BTW, I have military buddies who plate up to go to the range, but they can carry it off, if you know what I mean. No one doubts they are used to wearing them, from how they wield weapons.