I got a great rate on a full size through Alamo (I'm an Insider) at TPA for the end of May. Family of 5, 2 adults and 3 kids ages 9, 6, and 4. I've never rented for the whole family, usually only me or my wife and I on trips like this so size doesn't usually matter much. Couple of questions:

Will us and all our luggage (2 large bags, 3 carry-on size bags) for a week fit in a full size?

What will be our pickings at TPA?

What are the chances they'll give me a minivan or Tahoe at the counter (I'm probably one of the few who would actually want one) without paying for an upgrade??

Thanks!