... a friend of mine told me about Bitcoin mining and I thought it was unbelievable. ...
This isn't specific to bitcoin, this is a more general idea. If it is too good to be true, it probably is.
Until I can explain something to myself why it is not unbelievable then I don't touch anything. But for someone looking to get into business, sometimes you need to learn things the hard way. Now as for bitcoin mining ... the explanation most people here would come up with is the massive upswing in bitcoin value coupled with the massive decrease in $ per GH/s has mining capacity out of whack for the next little while. As more capacity comes online and blocks become harder to mine, the value produced by mining should trend towards some combination of the price volatility and marginal power costs.
For you, I would try to make as many small moves as you can. Instead of saving for months to make one big move.