I'm really sorry to hear about your Family Visit visa refusal.
Along with all the appeals details you also should have received details of the potential charges/fees.
May I suggest you take a look here at the UKBA webpage on Appeals System
As I mentioned in my earlier reply, it may be much cheaper and quicker to just make a new application. Many appeals are taking quite a long time and with potiential fees of around £100
I have to admit I don't know how the new fees/charges are actually worked out.
An appeal may be a good route for you if you believe the ECO made a mistake.
If you don't mind my asking, what was the key reason given for the refusal?
If the ECO doubted compelling reasons to return, it may be difficult to counter this view in the tribunal
