I would get a lesson and fit a putter to your corrected putting stroke.

I agree with Jason. Take a couple of putting lessons with some solid practice time around the lessons.

Good luck.

Any chance you love on the West Coast and could get to the Cameron Gallery in Encinitas? I would go there for a fitting which is also a min lesson. You wont regret it!

At a 6 handicap a lesson alone probably won’t change much with your current putter. My experience a putter fitting with all the razzle-dazzle cameras are they both identify the nature of your swing and what putter characteristics help/hurt you. Besides Golf Galaxy and possibly Dick’s, Club Champion, and GolfTec, check with Cameron Studios, LAB, Evenroll, and a couple of other niche putter vendors and you may other reasonably local sites that can both fit you and offer technique changes for shorter putts to improve you.
I have a personal bias against the first 4 I listed, only because I felt I was being sold and not partnering in my best interest. Whoever you go to, you need to have your own level of trust. That could be a Golf Galaxy or GolfTec. But all would be better than you trying putters on mats in a store that rarely carries over to on course results.

I was hoping that the Titleist studio at Pinehurst would do putter fittings, but they were not last time I checked. I really think this has developed into a mental issue more than a physical issue. It’s almost like I’m expecting to miss short putts. I have never had nerves playing a match. No first tee jitters. I tried a few relaxation techniques on the practice green today, and that freed me up a bit.

I have done the Golf Galaxy fitting years ago with a small sensor to detect arc and it was ok. I did a Club Champion utilizing the SAM Putt Lab System and that was a wealth of information. My experience with Club Champion was a nice one, I would advise if you went to them that you are up front at the very beginning about your expectations. In my case, "I'm not here to buy, I'm here for information and research". Quite simply, they (and other fitters) have access to technology we simply do not. I learned valuable information that was even emailed to me to keep for reference, yes, they still provided me with a quote on two separate putters, and I humored them, but I did not feel pressured to buy. I have a fitting booked at the Gallery in August and I'm pretty pumped about, I geek out on the data and sometimes just knowing where you are informationally speaking can be helpful on its own. Best of Luck.

I have a short game fitting booked at True Spec at Pine Needles.

Club Champion makes less than 1% commission on stock shafts, and like 5x as much commission on premium upgrades. Depdending on who you get, they could be good. My experience, the guy was a baffoon and only tried to upsell me everything. When he pressured me to get a mallet, and putt me on the SAM Puttlab and it recommended me a blade. He went off about toe hang and I need 60° and mine is 45° he went looking around at all his putter and couldn't find a 60° toe hang, then just walked away didn't finish my fitting and started doing other stuff.

Putting is mostly eye hand coordination and technique... High MOI mallet is nonsense. You have to miss so far off the center for it to matter, and it's a putter, you should be striking the middle every time... If not, no putter on the planet is going to help you. Only lessons on how to not miss the face when your taking such a short slow stroke...

You just need the correct toe hang, shape, feel that fits your stroke. A putting stroke is 75% confidence and 25% everything else.
go to the store drop some balls with alignment lines drawn over them, line up your putts and see what starts on your intended line and what rolls end over end the best. Hit anything and everything... If y ou can't get any to roll consistently, it's you my friend, not your equipment. haha.

You have it wrong, you need to get instruction BEFORE you get fit for a putter. If you're struggling that bad from 5ft, 90% of the problem is you, not your putter to be honest.