Is your parent's house close to your apartment? (this makes a difference how you "pack" your fish)
Remove your fish from the tank. You can just put them in the cups the came in from the pet store if you still have them. If not, then I suggest using some type of tupperware (make sure it have never been washed with soap or put through the dishwasher). You might need to buy new ones. Make sure to poke some holes in the top. For the ride, make sure that the cups are in a safe and secure place where they won't move around too much. You might want to find and open box to rest the cups in and then put bubble wrap or towels or something to help steady the cups. Make sure that you are driving carefully, no short stops or anything like that if you can help it.
As for your filter cartiadge or live plants - remove those and put them in their own container. You want to make sure the filter stays wet so that the bacteria doesn't die. If you put some old tank water in the container it should have enough bacteria to live on. If the drive is long, then i would add some pure ammonia into that container.
I would take as much of the old tank water as you can. Fill up some gallon bottles or whatever you have. This will also help keep your cycle.