9-10k may be doable, but (having done the sums for 55 - 65 hours plus odds and sods) you may find that you should keep 12k in mind as a contingency.
The absolutely vital thing, however, is to pay for one lesson at a time. I know that someone else has already said this, but
DO NOT PAY UP FRONT
There are so many sob stories here from people who've lost their money when the school went bust, or (the most recent one) find themselves apparently stuck with a school and instructor they don't get on with because they can't get their money back - please don't come back in a few months' time with another such sob story. (If you do, we'll just tell you "you shouldn't have paid up front".)