Wiki -> TricksoftheTrade

To increase your speed:

1. Turn off explosions in your preferences.

2. For those of you with a track pad, get a mouse.

3. Use the control/alt key when attacking multiple countries so that all of your armies attack and advance. When using a mouse, make sure you right click as well, otherwise only two armies will advance which will slow you down.

Teleporting Armies:

When you kill another player, you get their cards. If their total cards plus yours equals five, you cash them in for more armies. If you alt/conrol and left click the mouse (or just left click the mouse) when you take their last country/kill their last army, you can add your attacking armies minus two to the cashed armies you gain and distribute them on the board where you want.