Rather long, but I'm afraid the "home" in home photyo printing not really means your home, but it's there to mention the difference with the photo's you get from your photo shop (that's waht the leaflets of these manufacturers tell me). People often carry these printers with them when they are on holiday, give presentations, visit clients abroad or something like that, so I translated it safely:
Discover a world of possibilities for printing your own photo's.