#1:
Racing kings:
lichess.org/forum/general-chess-discussion/help-in-racing-kings#2.
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King of the hill:
1) King of the hill is the closest variant to standard Chess (that there is on Lichess).
Develop your pieces - Castle - look-out for Skewers - checkmates - and only later in the game bring your king to the center.
2) If your opponent starts running with their king: Don't let it get to close to the center.
If they start running prematurely, and you stop it: You will be at an advantage, due to their (probably) awkward King-position.
3) Try to create a French-like structure - to control the center as much as you can.
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Horde:
http://bitly.ws/h3oE.