Elliot, IMH if you are looking for the best sound you are barking up the wrong tree.
On the bright side you can make anything fit if you are clever. I do not like 12" arms. The faults which have been discussed in many threads far outweigh any benefit of a reduced tracking angle error.
There should be one wire from cartridge pin to to the phono stage and only two contacts at the cartridge and at the phono stage. As far as head shells go the two arms that get it right are the Kuzmas and the Schroders. If you have a nice small needle nosed pliers it is a breeze to deal with the clips. Allen screws with nylon plus under the screws are the best way to deal with adjustments. You never torque them hard. Lightly is all you need. You are not setting up a jack hammer.
Adjustable VTA is a fad and totally unnecessary. Any play violates the function of the arm. You set VTA at 92 degrees and forget about it. Still some great arms have it like the Kuzma 4 Point 11 and 14. The 9 is the best arm he makes and it does not have it. You just get it direct wired and you are in business. Next up would be the Schroder CB which you can get in 12 " if you want and the Reed 2G which has a removable arm wand, the reason I went with the Schroder. The Tri Planar is also an excellent arm. If price is an issue Rega sells its arms separately and they are great arms for the money.
Good luck with the Luxman. They are built like a battle ship and as long as the bearing has not been harmed it should last you your lifetime. The only thing you need to do to get it very close to the state of the art is put it on a good isolation stand. Any good stand will have to be ordered for the weight of your table. If they do not care about the turntable's weight forget it and look elsewhere.