Is the tyrant equiped with wings or does he have tyrant guards? If he has wings i normaly just shoot him with my all my anti-tank weapon wich usally brings him down in a round or two if he got guards i cannot say havent had enough experience in that.
But my run for the money would be to shoot him form far away
For the warriors as Kaizer already mentioned instad killing them is by far the best alternative may it be by ML or LC, another option is terminators with thunder hammers and storm shield you might lose some due to massive number of attacks but every wound you put on them is a warrior gone and I have to say in my experience that terminators with 2+/3++ saves last alot longer than multi wound models with 4+ save.
(though lash whip bone sword warriors would be a pain in the ass for terminator)
I wonder what chaos do in thier spare time???