I just went through this (bit longer drive though) and it's really not that bad.
Old Location
1. Get yourself a couple of 5 Gallon Buckets if you don't already have some lying around for water changes.
2. Empty half the water into one of the buckets.
3. Net your fish and place them in the bucket you just filled.
4. Empy the remaining water into the other bucket.
5. Remove your filter media and place it in the second bucket.
Move
6. Move buckets, tank, and anything else you need.
New Location
7. Set up the aquarium in it's new location.
8. Replace filter media.
9. Add water from bucket with filter media back into the tank.
10. Net fish back into tank.
11. Add water from fish bucket back into tank.
Done
12. Breathe a big sigh of relief.
The gravel and plants can stay in the tank undisturbed during transport and should be perfectly fine, although you may want to enlist a strong friend to lift the tank for you if you're a lightweight like me. With bigger tanks, it would be too much weight to move with the gravel in place, but a 10 gallon should be fine.