Pull flash video's from website and convert them to MP4

For an intern example project we want to have short catwalk video's (max. 20 sec.) pulled from a webshop. The video's have a startscreen with a logo. We want the video's in the same quality as flash converted to MP4 and edited that the start-logo and player controls aren't visible. Example of a video: [login to view URL] It is absolute important that the quality in frames are fluent. The background of the video's are white and they will be added to a website with a white background, so no borders etc in other colors.