If you have to choose between those three, I guess I'd go for the 700D or if you get it way cheaper, the 650D. They are basically the same, only the body has a slightly changed. If you also need optics and wanna shoot video, go for a STM lens as kit.
The 60D is a much older model, but with more or less the exact same sensor. It might have a few more software features and is a little bit better built. On the other hand, the 650D and 700D have a really nice touchscreen.