I only run on Pirelli MT66 Route tires, front and rear. Best tire I've found yet, have had them on three different bikes, loved them on all. Superb wet traction, nearly immune to grated bridges, and tar snakes. Whatever tire you are interested in, do a search for reviews, online, before you buy.
Since it is an '81 Custom, I assume they're tubeless. If you want to simplify your balancing, buy some air soft BB's (the heavier kind), and weigh out enough to cover the amount of weight needed in normal tire weights, then add them to the tire, on the rim, seat the bead, and done: they will dynamically balance every time you hit 20+ MPH, auto-magically. Only catch is, you can never use an aerosol flat plugger, as they will cause the BB's to glop in one spot, throwing the balance way off. You will have to use a tire plug system, should you suffer a flat.
Let us know what else we can help with. Cheers!
1979 CB750K (sold, 2012, but not forgotten)
1983 Kawasaki 440 LTD Belt Drive (sold, 2011)
1993 Kawasaki Voyager XII