I don't know about changing your gear for different multipliers, but as a one-hand hybrid, you'll want lighter armor. One-handers are already slow and weak and wearing more armor only makes them slower. I recommend one of the Surcoats over Mail because it is a good medium-weight armor and offers a lot of leg protection, which is essential for cavalry.
Use the regular Lance as it has the highest pierce damage, solid speed and solid reach.
Pick a good thrusting sword, pick, or mace. One-hand thrust was recently buffed and since you're a hybrid build you'll need every point of non-cut damage you can get. I recommend a side sword, steel pick, or military hammer.
If you're using a shield the Elite Cavalry Shield is your best bet as it only takes up one slot and you need a slot for your sword and two for your lance.