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If you want moving objects to be sharp then the only way to do this is with fast shutter speeds, no amount of IS will help with this, however if you are happy with blurred people, or even 'ghosts' then the IS will help.
f/2.8 is as fast as you can go with a zoom lens, however primes go a lot faster, so if you can live with the fixed focal length and the shallow depth of field they are a good alternative.
The Sigma 24 - 70mm is a reasonable lens but it is quite cheap, if you want to buy an f/2.8 lens with IS you'll have to pay about 3x as much (Canon 17 - 55mm f/2.8 IS) of course it's cheaper second hand.
If you are wanting to take indoor shots, especially at this time of year, you'd be better buying yourself a flash or even a couple, slave units can be bought very cheaply.
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