At its most basic you want something that will store & allow transporting your gear, whilst keeping it safe, secure and organised.
You can opt for something specific, or general luggage.
(That can also mean both an item designed for the purpose and/or that you will only use it for the purpose)
I am in the paintball world so most of mine are the ergonomic/compact designs and are easy to accommodate, but I do have a few long rifle types which are less easy
There can also be other purposes that you don’t think of, when I began to play events quite a few were run on sites with basic safe zone facilities, or would be attended by many times their routine numbers.
I have a Stanley roller toolbox, which as well as a lot of load space provides seating or a maintenance work surface (and of course rollers)
I also have a wide assortment of luggage from basic holdalls, backpacks, briefcases, flight cases, peli cases etc to ‘proper’ gear bags.
The ‘proper’ gear bags are compartmentalised, which means everything can be organised, but they aren’t necessarily designed for airsoft/paintball and the compartments might not be right - for example I have an archery case, hockey bag and other sports among them
I do have a lot of guns, and many live in zip up laptop sleeves. In each will be the gun & dismantled barrel plus spares/maintenance kit.
This way I can pick one (or a few) and drop them into whichever case or gear bag is coming
Some come with their own case and live in that.
Long guns pose a different issue, so they live in cabinets or cases. (An archery case for example)
I will typically then carry the long gun or guns in one of the cases and the rest of my gear in a holdall or backpack etc
One soft long case is a sniper mat/bag which will take one or two. (And I’ll add a Shemagh etc as a wrap to avoid scratching etc)
Another is a snowboarding case, which is just a long soft zip up sleeve. I have a cheap basic Hong Kong gun bag with a broken zip. Slip in a couple of guns, close it with some Velcro strap and drop them into the snowboard case
A good but slightly annoying one is a rectangular guitar case. Great for holding a rifle, but the handle is very off balance - it’s offset to carry level with a guitar
It’s carriable, but is a little awkward with its off balance. So it’s mainly used for storage and if taken on site stays in the car unless the staging is very close, otherwise comes if I can unload and sling a rifle on my back in the carpark