All of the kinds of items you mention are useful at home, various brushes, multiple bottles of solvents and oils etc., but in a range or field bag, it sounds like more than you need to lug around to me. I carry with me just enough to keep my guns functioning. A small field kit with a rod, a brush for each caliber you're shooting, a few patches, and a small bottle of solvent is more than enough stuff to take to the range. Really, for me, that is too much stuff to take to the range. I keep a Bore Snake in my vehicle for each caliber I either carry or take to the range. That's it. The only reason I recommend more stuff for you is that you say you're getting a new weapon, and you may need to use a rod to push a stuck shell out of a chamber or something. That's happened to me, but only with one weapon ever, and I've been shooting for more than 40 years. I only do deep cleaning at home, after my time at the range.
If you were referring to a bug-out-bag or survival gear of some sort, then I'd go with the small field kit. Unless you have a large collection of guns though, I can't conceive of needing one of those fancy kits with every cleaning tool under the sun nicely fit into their felt-covered cut-outs in a bulky wooden case, even at home, but definitely not at the range, IMHO.
Blues