Sounds like you have enough of a financial history to apply, but to be honest, I think you'll find the banks a bit wary until your job is permanent. No harm in asking though (but applying all over the place might set off credit check alarm bells). The amount you are hoping to get, and your deposit seem very reasonable. The actual amount you can borrow will depend on how your current outgoings stack up against what you get after tax. In principle, as I say, the amount does not look out of line with your salary.