Hi Wrekk,
You can either using our Matinee Animation Tool or use Blueprints to drive animation. We have tons of documentation that you can reference for this. Also take a look through the Content Examples that you can download from the Launcher to see some of this in action.
Here is info on using our Matinee Animation Tool:
And here is some info on using Blueprints to drive object movement:
https://docs.unrealengine.com/latest/INT/Resources/ContentExamples/Blueprints_Advanced/2_1/index.html
https://docs.unrealengine.com/latest/INT/Resources/ContentExamples/Blueprints_Advanced/2_4/index.html
Another great place to start is our Wiki tutorials.
I hope it helps, TJ