Quite a few people seem to like Bore Snakes. The Bore Snakes are a pull thru cleaner. I only have the CZ 452 and 455 series rimfire rifles and use a cleaning rod/bore guide with the appropriate jags. With the earlier rifles it's generally recommended to use a 17 or 20 caliber cleaning rods in conjunction with a bore guide. The reason for the sub caliber cleaning rod is that the normal 22 caliber cleaning rod has a tendance to hit the rifles ejector and scratch the cleaning rod even with the bore guide. I'm not sure if the model 457 has a similar ejector, cleaning rod issue or not. Possum Hollow makes a bore guide for the 457 rifles, Guide number 92 I believe.

 

I personally bought a Dewey 17 cal cleaning rod and use a 20 cal brush.

 

20 cal. Brush /Jag is the ticket, the CZ bore is tight.