Calling all geniuses! Remote Access suggestions...

Looking for a little advice here:

My mother wants to be able to access files on her office mac from her mac at home. What do you think the best/easiest way for her to do this is? She is really only concerned with being able to copy files to her home computer (e.g.ones she forgot to put on her thumb drive) not necessarily control the other machine or change settings.
Side notes:
- I'm not sure if the IP address on her office computer is dynamic or not.
- If the mac at her office is asleep is there anyway she could still access it? (perhaps wake it up thru the ethernet connection?)

 

She's a graphic designer and has a ton of files she's working with. It's not practical for her to back them all up (which would still need to be done daily when she left work). What she needs is a way to remotely get to her files if she forgets to put them on her thumb, or external drive.

I was thinking remote desktop but it seems like there has to be an easier way.