I just did this 2 weekends ago. Not a bad job, but a little messy as usual when draining anti-freeze.
I jacked up the car and put a small hose on the radiator petcock, then drained it right into an empty gallon milk bottle (washed out of course). Petcock is on the drivers side of the radiator, and you only need to drain enough coolant so that's it's below the level of the T-Stat. 1 - 1.5 gallons should be more than enough. Some coolant 'missed' the bottle, but I put some newspaper down just in case.
I also removed the cross brace - 4 bolts. I suppose you could just loosen it and possibly squeeze the t-stat housing out, but IMO it's just easier to get the brace out of the way completely.
Otherwise, remove the upper rad hose at the t-stat housing, bend out of the way, and 4 bolts for the housing itself.
I reused my rubber o-ring gasket - just swapped out t-stats and started putting it back together that quick!
When reinstalling the housing, I found it easiest to install the hardest bolt (lower inside bolt) with the housing all at once. Just put a socket and a short extension on the bolt and spin it in while aligning the housing with your other hand. After that, the other 3 are gravy.
Once you get everything buttoned back up, you'll have to purge the cooling system to get the air out using the bleeder on top of the t-stat housing.
I managed to get all but a quart of coolant back in when I did mine. Took it for a drive and let it sit overnight. I was able to get the last quart in the next day.
What do you think of the DC Flash? I had it on my SRT Ram and really liked it. It's one of my next mods for the Viper.