Make sure you have enough supplies, and oil for the units that consume oil. Your units overseas rely on the convoys sent from your mainland. Make sure that you protect your convoys with enough escorts that no raiders will dare go near them.
TC isn't so complex. For every effective IC you get 1.5 TC. This is further modified by the logistics technologies. TC should always be green

...partisans should be suppressed as much as possible in your occupied territories. Also, you shouldn't redeploy many units at once if your TC is low.