Choosing between a funded PhD offer and a possibly funded one I have been admitted into two PhD programs at universities A and B. A offered me funding, however B asked me to apply for state funding before discussing internal funding. The deadline to accept the offer from A is early January, and I will not recieve the results of my application for state funding at B until February. I really want to go to B, but I am afraid of rejecting A's offer and not getting state or internal funding at B. What should I do?
I was thinking about:

Asking A for more time to consider my options before taking a decision.
Contacting B and explaining that I have a fully-funded offer from A, but however, they are my first choice and I need to know whether they will give me funding if I do not get it from the government before rejecting A's offer. A is really prestigious and well placed in rankings, so I though that bringing them up while contacting B would play in my favor.

Would this be a wise approach to my problem? May this just worsen my situation? I would greatly appreciate any advice or suggestion. I am desperate about what to do, this is a really important dilema that I have never faced before.
Yes, you can try those things.  It is unlikely to make your situation worse.  Only A and B know if they are willing to help you.