You can store images in MyFinePix based on the free space where the software has been installed. This is just a viewer application that uses the folders with images stored on your PC to display them inside the application while providing various features. If you run low on space, then Windows will notify you that you have to delete some files because the space is low on that drive.
I've checked the software, but I didn't see anything related to space storage issues or something like that.