Hand carved from solid, all the old big twins are basically similar - Tonti framed roundheads: 750's (V7S/S3) are expensive classics now, small carb motors, drum brakes or drum rear, T/T3 are 850 small valves/carb, spoke wheels w/discs, T3 California has cruiser accesories. G5 is 950. Spada is 950 w/good effective fairing. LM1/11 - cast wheels, clip ons, discs, larger valves/carbs 850 (LM1 is collectable = expensive). Later squarehead bikes: LM111 (850), LM1V (950) etc. More of same really except capacities increased....But personally I'd steer clear of 16" front wheel models. 1000S was a nice combination of sqarehead motor w/ early sport styling.
V7S/S3/LM bikes are sport bikes but can tour. Rest are tourers that can sport. Given that virtually everything is interchangable between models, I'd look for whatever is available at your price in good order w/ history etc. Don't pay way over for the collectable ones - dynamically the others are just as good, or for little money, can be.
The singles are nice bikes. Slow (70mph?) & heavy, but nice. Dunno much about them, always fancied one.
Good luck.
KB