How do you effectively fight Vampire Counts?

Edit: I'm dumb and meant vampire coast, not counts.

Newbie here, playing on normal/normal. If I ever try to fight Vampire Coast in an actual battle (not auto resolve) I have a terrible time. They have these super beefy artillery units that seem to be able to absorb huge amounts of damage, and they are hidden behind massive amounts of range that will mostly destroy any unit that tries to charge the big guys. If any of my units do make it to the back line, they are immediately routed by fear effects. Feels like I need a full stack of strong cavalry to have a chance.

Auto resolve seems to do just fine though, so for now I just stick with that.