Yours look very similar to the ones I just changed on my 60s Tribute Gold Top. This is a picture of the ones I fitted in place (and my Epiphone LP, which I did at the same time). For my GT I had to buy 10mm adaptor bushes, the Epiphone fitted directly with the supplied bushes that came with the tuners.It has original Klusens I believe. I’ll snap a pic in a bit.
I have both of these tuners and they both are excellent. I'm not sure if they need any modification as mine were on when I purchased the guitars. But either one is a good choice.Mine has Sperzels, I think they are the best locking tuner available. But these Kluson Revolutions look like they function the same way as Sperzels and are a direct fit replacement so I'd get the Kluson Revolutions.