The answer lies in whether or not you can afford the repayments. Consider that you will have to pay rent, bills, food, plus many other expenses which neither of you is used to budgeting every month. Keep in mind that things usually cost more and take longer than you think they will, and work out whether or not you can afford the repayments.
If you're not sure, you may be better using your credit cards for the initial outlay, and then agreeing a personal loan which you use to pay off those cards a couple of months down the line when you have a better idea of where exactly you are with monthly money. Generally, I would say keep your credit cards for emergency unexpected expenses only, but in this particular case they could prove useful to you as they will allow you to put off committing yourselves to a specific monthly amount until you know whether or not you can afford that.
Also consider some of the deals that are out there at the moment where you can take out a credit card, transfer your existing balance and enjoy an interest free period for up to two years. If you do this though, you MUST cut up the car as soon as you receive it so that you're not tempted to spend on it. Just treat it like a loan that you pay every month. A lot of these deals offer interest free for balance transfers only, and so if you spend on them you will still pay interest on those purchases.