The only hope you have of carrying any sort of camper comfortably in an F150 is with the "HD Payload" option. This gives you up to 3000lbs of payload, which would be passable for smaller campers like the 825 if you pack light.
The monkey wrench in the works here are the three kids. An 825 is nice for a couple, but to sleep 5, you'd need to stuff one kid in the bathroom, and duct tape the second kid to the ceiling! Stacking them like cordwood in the dinette might work when they're small but unless you've got a strange family they will want their own beds as they grow up. Camping weekends will be a nonstop fistfight of, "He's touchinggggg meeeeeee!" ALL... NIGHT... LONG...
I recommend you GO SHOPPING. Get in the campers. Look at a few makes and models.
