As Phil said, there is little shadow, which is causing the shot to look a bit like a 'snap shot' rather than a professional photo.
If it is just for fun, get a cheap trigger off ebay, or if it is an investment, look to pay over £100 for the triggers, to make sure they last. The Canon ST-E2 is amazing, and can be picked up on here for less than £100.
Diffusion is also the key. Again, if this is just for fun at the moment, either a cheap white brolly from ebay, or even anything translucent. When we just played around with flashes many years ago, we used a collapsible white laundry basket!
Other bodge ideas could be a large translucent white toybox kind of thing?
But as always, if you are planning on this being more than a hobby, DONT waste your money on cheap kit from China, as it really doesn't last long. It's much better to get the right gear at the beginning, as you are only going to have to replace it pretty quickly otherwise.
Also, to avoid lighting the backdrop, bring the little one much further away from it. If we are shooting against black (although we actually use a grey paper) in the studio, the subject is usually 10 feet or more from the backdrop. This reduces the amount of light that hits it. (good old inverse square law!)