I have some information that will help, but we do not currently have any videos showing a trailer hitch installation on your 1994 Ford Thunderbird.
For the Curt Class II Trailer hitch Receiver # C12053, the installation instructions do state that some applications may require that the access hole in the frame of your vehicle be enlarged slightly to accept the hardware. Installation on your vehicle also requires the fishwire technique. This technique uses a bolt leader to pull parts such... view full answer...
You can certainly view the installation instructions for the Draw-Tite Trailer Hitch, # 36179. I have included a link to them for you to view. We rate the installation of this hitch as a 4 out of 10 for a novice installer. Difficulty is based on the estimated installation time and if there is any trimming or drilling required.
Installation of this hitch on a 1996 Ford Thunderbird does not require any trimming or drilling and as long as you have the correct tools and a friend to lend a... view full answer...
The Curt Trailer Hitch # C12053 that you referenced will not require any drilling, cutting or modification of anything to be installed on your 1995 Ford Thunderbird. Check out the installation instructions I attached for this product.
To complete your towing setup you may be interested in purchasing the following products:
Curt Custom Fit Vehicle Wiring # C59496
Hitch Ball 1-7/8 Diameter # 19256
Hitch Ball 2 inch Diameter # 19258 view full answer...