Prepositions of movement

To, through, across

We use to to show movement with the aim of a specific destination.

For example:

 I moved to Germany in 1998. 

 He's gone to the shops.

 

 We use through to show movement from one side of an enclosed space to the other.    

For example:

 The train went through the tunnel.

 

We use across to show movement from one side of a surface or line to another.

For example:

 She swam across the river.