Gasket for a 14LX is 22271-38010 and note that it has a built-in metal mesh screen to catch foreign objects before they enter the manifold. It uses a formed silicon gasket that can often be reused.. I did once at almost 200k, but yes it is better to replace it if possible.
The job itself should be almost identical to that video, except he has a 4.6 vs your 5.7.. they are very similar in this area. Disconnect the battery, intake piping (note a couple small hoses that go to the noise attenuation boxes over the passenger side valve cover), electrical harness to the TB, then the four bolts that hold it to the manifold. I would not disconnect the cooling hoses to it.. you should have plenty of room to clean things with those still attached.
The video has some good notes, especially about being gentle with the throttle plate.. don't want to strip any gears. But yes you can open it against the spring and get access to clean things. I've found that soaking a sleeve of an old t-shirt in the solvent and scrubbing with that does a great job of removing the gunk without just smearing it around.
PLEASE put a towel or something into the intake manifold to block tools/rocks/leaves that can settle in there while you have the TB disconnected though.. in the video he leaves it wide open and that's not a great idea.