Plenty of kits about and some can be useful but to be honest they are either cheap and nasty, don't contain what you really want, have TOO MUCH in them, or simply come in a VERY expensive box.
Buy what you need seperately, and do your best to find a Dewey rod!!
Oh yes...and throw away your boresnake!!
Agree with Deker. What I use is a rod and instead of messing around with bits of tissue paper I use the swan cigarette filters, the ones you use if you roll your own cigs. I use these for both my .22 rim fire and HMR, they cost bugger all and you get loads in the box
Cheers S