Handbrake is a great tool to reduce the files size of your video content without lowering the quality. This will help with getting your files uploaded faster and it will make sure your videos fit with the 2GB limit. Also it doesn't require any setup to get your video file size down to a smaller size.
You can download Handbrake for free from here: Download Handbrake.
Once the file is finished you will have a video that is a fraction of the size it was before while still being around the same quality.