Shawn,
Here's the part:
Trailer Couplers - Fulton Performance
You take it to a shop to cut the tongue, then have this mounted, unless you're a metal working kinda guy and got the tools to cut thru a steel trailer tongue :-). Comes in bolt on or weld on, and sized to match the box section of the tongue. If you have surge/hydraulic brakes, you will need to determine the length of the coupler that will be in front of the fold away to select the appropriate length of flexible hydraulic brake line to allow the foldaway to fold without damaging the brake line.
More info and see the reviews and faqs:
Fulton Fold-Away Coupler Hinge Kit for 3" x 3" Tongue - Bolt On - Up to 5,000 lbs Fulton Trailer Coupler FHDPB330301
Prices dependent on size and type run about $80-120.
Another option. Does the rear wall of your intended homes garage back up to the house, or does it face open yard? Is there the possibility of bumping out the garage just an additional 6-8 feet? You might even be able to bump out just one of the 2 bays of the 2 car garage. See pic. Just a thought.