Hey,
Firstly I would like to say, with all due respect to Menny Lindenfeld, I would not recommend Criminal. When I first saw the trailer, I was a bit misled. It showed the effect with what I thought was a borrowed bill, and I'm also pretty sure the reactions in the video are from different effects... But to me I was disappointed when I found out that there is a gimmick involved, and the bill cannot be borrowed (without a bold switch). It also cannot be examined afterwards either. Usually I could've gotten over the fact that it couldn't be borrowed, but the fact that it's not examinable is what put me off. Basically to the audience, you pull out a bill, display it in kind of a dodgey way, tear it, and restore it, and once again display it in an awkward way, and put it away without letting them check it out (unless of course you used a switch). I just don't like it. But that's certainly not to say Lindenfeld's other effects aren't great!
Serial Biller is a great resource in my opinion. Yes, it does teach the basic effect of tearing a bill, verifying the serial number, restoring it, and verifying the serial number again. But it also goes into a lot of variations on the effect. Rich Ferguson really explains a lot about the effect and even some bonus effects. I recommend this. The method is just awesome.
Now the simple route would be a Kozlowski switch (granted, this is taught on Serial Biller). This is what I do when I happen to be set up for it, and maybe I'm out with friends or have family over and someone pulls out a bill. You can tear it, do the Kozlowski switch almost exactly the way you'd do it with an untorn bill, and then reveal the restored bill. It's a simple way of doing the bare bones effect of tearing a bill and restoring it. If you don't know what the Kozlowski Bill switch is, you should get The Hundred Dollar Bill Switch by Mike Kozlowski or another great resource on the move is Jay Sankey's Hundred Dollar Miracles.
Hope this helped!
-JP