While golfing today, my husband and I discussed why we liked the other's putter, yet we selected such different ones. Here's some things to think about when selecting a putter.
#1: Check there are no moveable objects other than your golf ball on the green before picking up your putter.
My husband bought his Ping Putter before I bought a new putter; when I tried his I fell in love with it and had to have one.
What I liked about his putter was the light feel, the generally straight putt I had with my stroke, the center mark.
When I went to purchase my Never Compromise putter, I went to Pro Golf Discount in Tukwila, WA where my husband also purchased his putter. I went a good six months after my husband and there weren't any Ping Putters on hand. So I used the store's handy putting green to try out a good variety of putters. What I found out was that because of my stroke, some putters gave me odd putts. Some I had less ability to find center. After numerous putts, I settled down on the Never Compromise putter which happened to be all the rage.
One difference between my putter and my husband's is the added weight at the back of the putter. I've found that this weight gives me a better sense of touch about how far the golf ball will travel.
My husband did the hang test--here's a good explanation for the various ways that putters differ.
The center line on my husband's putter when it aligns with the back of my putter held similarly doesn't line up the same as mine. In fact, he readjusted his line, by adding a notch at the top which helps him find a better center. I hope this helps with putting questions.
Or you could just go putter borrowing and testing just to improve your putting skills. Whatever works.