Yakuza, Yes it will work, but it certianly won't be as good as having management. What sort of power are you chasing, I'm able to get 400rwhp from stock injectors.
A basic turbo? There are so many different turbo's around that this question is difficult to answer.
What car is it for? New or second-hand? Whne changing the turbo you may need to check that it will bolt onto an existing manifold etc.
Prices will range from about $1500-$3500 for a new single turbo.