In regards to the single-action revolver in the holster in pictures from the set of Tremors 5. (Michael Gross) can be quoted saying the script called for a Colt Single Action Army but what they ended up with was a replica in a "Cattleman's" configuration with a slightly longer barrel that Burt derisively calls a "pop-gun." Naturally, though, he proceeds to "do what he can with what he's got. If I had to guess presently based on what Michael Gross said, its a Uberti Cattleman with 5-1/2" Barrel.
Burt is somewhat concerned and disappointed when he discovers he is forced to hunt Graboids with a .303 Caliber BSA rifle, Burt uses it a few times throughout the movie.
While stateside, in Perfection Valley, Nevada. Burt hosts an episode of a survivalist reality show and totes around this presently unknown bolt-action rifle.
Behind the scenes photo on the set of Tremors 5 has Burt (Michael Gross) posing with an AK variant, those who know more might chime in on which one exactly.
Shotguns
Unknown side-by-side Shotgun
Travis Welker(Jamie Kennedy) appears to be toting a side-by-side in the Tremors 5 promotional image.