For starters getting something to tune the car properly is not an easy feat, the cheapest would be to convert the car to a ford ignition system and use a megasquirt.
You can easily control fuel via additional injectors and a controller and leave ignition timing to the stock ECU, but that severely limits what you can do.
Then there's the transmission that can't hold alot of power (roughly 200 whp), you will also need a performance clutch which can be hard to source/find. And alot of custom work... and custom = $$$$$
For the amount of work required and cash involved, you best buy a factory boosted car, like my Mazdaspeed 3 for example, with less money invested in the Mazda than the Aveo, it's a **** ton faster and immensely more reliable.
The power gains vs what it costs/time/headaches are not worth it.