Selling private is always going to get u a better price as u are paying the dealer for a "drive an old car in n drive a new one out" But u may also consider how long are u willing to have ur car up for sale? After a month or 2 of it stuck in the driveway u may sell it for less than what the dealer offers you.
Just something to take into account.
Oh, btw. From how u were talking at the start ur heart really lies with the VE not the falcon. Best thing i recon is look at ur car/cars u have at the moment. Pick the features you love in it n make sure ur new car has those. That way u know wat ur happy with cause u have had it b4. (something i always look 4)