Need a knee & hip replacement

No. But these are merely trademarked techniques.

Jiffy knees are knee replacements using the subvastus method which goes under the muscle and tendon to expose the knee cap. The traditional knee replacement would involve cutting the muscle and tendon to expose the knee cap and then sewing them together at the conclusion of the procedure. Both involve cutting off the arthritic parts of the femur and tibia. Obviously, all things being equal, the subvastus method produces less trauma. But one doesn't need a Jiffy knee surgeon to do a subvastus cut. The originator of Jiffy Knees did create a specialized tool for pushing the muscle and tendon around.

Nano knees are less well documented but here is a good comparison:
https://ochipandknee.com/nano-knee-jiffy-vs-traditional-replacement-what-patients-should-know-socal/
My surgeon, who also replaced my left hip four years ago, did a mid vastus cut with a bicruciate retaining implant (BCR) and repaired my severe valgus misalignment with a Functional Alignment. The mid vastus is similar to the subvastus but goes through the muscle fibers rather than under them. According to my surgeon, it means that recovery is likely to be slightly harder with the mid vastus cut but it provided a better field of work and a better method should a revision ever be necessary.

My point is that I don't care what they call it. What I want is the best surgeon who has the best results both for the short term (recovery) and for the long term (living with the artificial knee). If the surgeon I want calls himself a Jiffy Knee or Nano Knee surgeon, fine. If she doesn't, also fine.

My surgeon replaced my right knee seven months ago. I had zero post surgery pain. He had me resting the first couple of weeks while constantly icing with the ice machine before commencing physical therapy in the third week. That week my therapist measured my ROM at 122 degrees and my extension as essential flat. On the 27th day after surgeon, I (an 80 YO male) was back playing golf.

Thank you so much for your comments! Sounds like you found a great surgeon and yes I do agree that it doesn't matter so much the procedure but if it is done correctly . I am 74 and hope that I am still as active as you when I am 80! Thanks again!