Loose steering shouldn't be the stabilizer, could be worn parts. The stabilizer is supposed to slow rocks and potholes from jerking your steering wheel out of your hand when you come upon them.
Installing the new stab isn't too complicated, you'll need to drop your skid; I used my floor jack to hold it while I unbolted it then lowered the jack, held the skid steady and pulled it out from under the truck.
While you're doing this, put the jack under each lower control arm enough to get the tire off the ground then give your tire a shake left to right. There should be no play there, if there is, replace tie rods (if you look at the actual joint connection you'll see the movement if it's bad). If there's vertical play in the tire (use a pry bar under it) then replace your ball joints. While you're doing the tie rod check grab the pitman and yank it around, if it moves replace it along with the idler if you're going that far. Be warned though that to replace idler/pitman you'll need to unbolt the steering box and all of that takes some muscle. It's not hard, it's just better work for a guy who hasn't sat his a$$ in an office the last few years (me).
It's a fact that these front ends loosen up all the steering parts after a few thousand miles. I spent about $300ish to replace all but the steering stabilizer and shocks, I want to get back under and get those done. I used all Moog parts, available and cheapest from Rock Auto .com
The Moog are the best replacements you'll get without going to the super heavy duty aftermarket stuff.