Okay, I've done this a hundred times. For starters you need one of these:
I've actually removed a putter grip a couple of times using a wire coat hanger; You just bend it half and then stick the bent end under the grip. However, if you've never done it before I highly recommend getting one of these.
Okay, then you need mineral spirits or grip solvent of some kind, a "ketchup type" bottle of some kind, and a bucket or pan.
Here's what you do.
Put the putter grip end down into the bucket.
Stick the edge of the tool under the grip as far as you can shove it. It only needs to be a fraction of an inch, but further is better
Use your ketchup type bottle to squirt some grip solvent or mineral spirits under the putter grip
Work down and around pushing the tool deeper under the grip.
Add grip solvent when ever you make any progress. Feel free to be liberal with the use of the solvent.
Keep doing this until the tool is all the way under the grip.
Hold the tool and twist the putter all the way around, or hold the putter and work the grip tool all the way around, adding solvent if you feel any resistance
The grip will slide right off as you push down the tool.
The rubber thingie at the end of the grip, it is well attached and will stretch some, but still be careful not to pull the tool too far away from the shaft. Remember your goal is down and around not out and away. I actually just did this last week, I removed a Scotty Cameron 15" Grip, shortened the putter, added butt weight and put the grip back on with no trouble.
Like I said, the process sounds scary, but it's pretty easy actually. I've done it a lot. As mentioned I've even done it using a coat hanger. Just let me know if you have questions.
I don't know if this stuff gets national attention. Good neighbors - and they donate locally after the headlines each year too.