Fleets may move to any directly connected world, or simultaneously through two or three consecutive connections.
For example, if F13 is at W36, which has a connection to W25; and W25 has a connection to W2, and W2 has a connection to W10, then F13 can move in one turn through W25 and W2 to end up at W10.
When you move a fleet through multiple connections at once like this, you will get a complete report of any worlds you pass completely through, as well as the world you left and the world you arrived at. However, you may be vulnerable to ambush at either of the intervening worlds, if your opponents have any ships sitting idle at those worlds. Normally, you will move multiple hops like this only through your own worlds or through your allies' worlds, where you can be confident there will not be hidden enemies lurking.
You cannot both move and fire a fleet in the same turn.
Fleet movement takes place after transfers and loading and unloading, and at the same time as combat.