Claymore?, no not that, infact(and I could be wrong,) I think what I'm learning is a bit shorter then that, and not quite sure what you mean by run of the mill, hold on let me see if I can't find the oakeshott type I'm using a waster of
OAKESHOTT type XVII
I believe, two handed longsword with a blade that is good for cutting but has major thrusting capability, seeing as the blade becomes narrow as you go up the blade, I think that blade design was mainly for thrusting through unstable, exposed and weak spots in Plate armour
however I think this might be the Blade type for the Estoc or known as the tuck in english,
I'm not sure as I'm still learning my Oakeshott typology
Strength train first, go to your sword training after. Get a decent routine of progressive resistance involving free weights. You'll notice a difference and yes, some of us know the science behind this stuff.