get yourself a couple AK cleaning kits for $5 ea. the wallet type will have a pull through brushes and oil bottle one kit for the 5.45 to cover your .22 and .223 needs the other for 7.62x39 to cover that caliber plus any other .30 cals ya might get.....
Centerfire and cheaper than dirt etc... all have em they fit in a back pocket like a wallet.......
here are a few samples of military cleaning kits with pull throughs
http://www.cheaperthandirt.com/CLN120-2255-855.html
http://www.cheaperthandirt.com/CLN024-46593-855.html
there are others, I have a few hundred of the wallet ones in both caliber ranges and see em all the time for a couple bucks....
here are a couple super versatile solid rod types as well
http://www.cheaperthandirt.com/49631-64078-855.html
http://www.cheaperthandirt.com/AKS036-55142-855.html
I keep one of those attached to the shoulder strap on my primary AK mag carrier (the mag pouch has pockets for a bottle of GI bore cleaner for corrosive ammo cleanup and a buttstock cleaning kit for extra tools in the field as well as hold 5 30 rnd mags) I have a similar setup for the small bore stuff, the .223 kit will cover everything bored for a .22 cal slug etc...
The wallet kits are with every gun, onea the solid rod kits is with each ammo pouch for guns I tend to use corrosive milsurp ammo in...........
Cheaper and tougher than any of the commercial stuff plus the solid rod ones use common attachments so ya can custom tailor each kit to your needs, ya can even get one or the other and just add the brushes etc... for the other caliber for an all in one kit, use a second oil bottle for bore solvent and your set for any situation at home or in the field.......
Pull throughs are very handy but keep in mind that ya needa clean the pull through as contaminants will get embedded into the material...... this is the only real bad thing about bore snakes if ya use more than one pass then your just re-depositing some of what ya just cleaned out right back into the barrel again.....
BTW....... a broke pull through isn't too hard to extract in fact soldiers been doin it going back to WW1 when they were very much in use particularily with Enfields.......... ya pull it out from the other end.... an I ain't even college edumicated or notin