Slitherine

Finally got a PC that can play this great game. Have played a few games now, and am a bit flummoxed about playing against armies that have a large contingent of LH. My troops are getting pretty shot up, and I dont have enough LF or LH in the armies I have been playing, to counter their LH. Any tips or insights would be appreciated. Oh, Slitherine and Byzantine games, youve done a wonderful and masterful job on this game!
Cheers
Alex