LogMeIn, a remote access service, has recently shed their $30 initial purchase price tag, and moved to a free download model for iPhone and iPad, along with in-app purchases to expand what it can view.  The free LogMeIn app will now gain you access to your desktop and the ability to read and edit files as well as manage and run programs from the computer, but if you wish to do things such as watch videos, remotely print documents, etc you will need the in-app purchase that from within . Users who have previously paid for the application will automatically be grandfathered in, and the in app purchases will be free for them. In order to successfully run this application you will need the free desktop companion, so be sure to download that as well and start controlling your desktop on the go!

Free - App Store Link