The Pro's here also use zooms. Modern zoom lenses are far better than those of yesteryear, and as Sigma have recently demonstrated can actually exceed the performance of primes when done right.
The standard kit lens is poor beacause it's poor, not because it's a zoom. Saying that, I can still get excellent quality and dof out of my kit lens (not that I've used in years!) as I know how to make the most of it. DoF is affected by your aperture, focal length/distance to subject, and sensor size. As you will be using the same apsc sensor, you can control dof by proper aperture selection, and composition.
I would also not recommend any standard zoom designed for full frame cameras for use on apsc for a few reasons -
The focal lengths are too long. Remember to take crop factor into consideration (ie multiply by 1.6 for canon). That really usefull 24-70 ish lens just wont go wide enough. This is why we have 17-50ish standard zooms for crop camera which cover a far more useful focal range.
Cost - ff lenses are much more expensive than the same spec apsc lens.
Weight - they are much heavier than the same spec apsc lens.
Advantages - they will still be useful if you ever decide to switch formats, thus saving in the long run. Your crop camera will also only be using the center of the image circle, thus making the most of the IQ.
Back to some of the suggestions so far -
If looking for an ultrawide, then the samyang 14 mm I would pass on. Go for the Tokina 11-16 2.8 instead. Unlike the Samyang you can fit filters to this, it's got a faster max aperture, is more flexible (zoom), will go even wider/longer (at wide focal lengths every mm counts for a lot), and can be had for around the same price (£360 from digital rev). I would suspect that IQ is better too, though I haven't scoured the web for the test results of these two.
The standard wide-normal zooms - The sigma 24-70 (or any similar lens) I would avoid unless you are planning on going ff. Its designed for larger sensor cameras and is a waste of money on apsc. An apsc equiv such Tamron 17-50 2.8 VC or Sigma 17-55 2.8 OS can be had for less than £300. The Tamron is the best value standard zoom out there at £250 from Digital Rev -
http://www.digitalrev.com/product/tamron-sp-af17-50mm-f/ODExMQ_A_A
The Sigma 18-35 1.8 is an amazing quality lens for the money. One of the best performing standard zoom lenses in the world. It is however let down by the small zoom range and lack of IS. It's also more than twice the price of the Tamron above, at around £600.
I agree with Chimp regarding batteries and cards too. Third party batteries in general do not last as long as official Canon ones though. They start off life fine, but I have noticed a definite reduction in both the charge time and duration in use on all those I've encountered/owned. Good cells cost money, so if you do go third party here, go for more expensive ones.
A 45mb/s class10 SD is as fast as you need, as the cam can only feed the card so fast. The sandisk extremes are universally accepted as the best to use.
If I were buying into apsc lenses for vid right now, I would pick up the Tokina 11-16 2.8 (£360), the Tamron 17-50 2.8 VC (£250), and (if you dont want to use the Canon 3x crop vid mode) the newer Sigma 50-150 OS (£600) for longer shots. This is by far the best bang-for-buck combo I can think of at the mo.