I'll throw in my suggestions. 100% agree with East TN 81 reliability > everything else. I have a 2001 2500HD 4x4 with the 8.1L/Allison. When I started this truck, first thing I did was complete fluid changes. Believe it or not it made a big difference in my shifting, I think the previous owner had the “wrong” (ok per GM but not Allison) fluid in the transmission. I also had my truck tuned by Black Bear Performance, also made a big difference in drivability.
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Next I put tall/skinny 255/85R16 Cooper Discoverers on the truck. Their tread pattern was much more aggressive than I was anticipating. I ended up really disliking how they handled on the road under this huge truck, and since most all of my miles in this truck are on the road, I switched to Michelins. If you are looking for something more off-road oriented, my 1991 K2500LD really likes the Cooper Discover S/T's that came off of my 2001, but it is a lighter truck and gets more off-road time in. I wouldn't put a 255/85 on a heavy truck again, even for a dedicated off roader.
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The Michelin tires I got were LTX M/S2 285/70R17s. I love how these handle on the road. I have also used them on some light off-roading around the family farm; they have gotten me through some ditches and up some steep banks without any problem. Definitely wouldn't be my choice for a trail rig, but for a 95% road and 5% off-road vehicle, they fit the bill for me. The Michelin A/T2 would be a better choice for a mainly on-road but slightly more off-road vehicle.
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Another really good on road oriented upgrade is an aftermarket front sway bar. Seriously between the sway bars and the tires I went from slowing down to 45 in turns scared to death I was going to flip over to not even lifting off of the cruise and taking the same turns at 65. Replacing the probably worn out rubber bushings with polyurethane would also get you most of the performance at a lower price.
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Bumper wise, without going custom you can either find a stocker to put back on or put an aftermarket steel bumper on there. Steel bumper is better at hitting things at low to moderate speeds with no damage as well has hitting animals and anything smaller than your truck at high speeds (deer). Since the steep bumpers eliminate your crumple zone the factory bumper is actually “safer” for the occupants if you hit something large at high speeds at the expense of sacrificing the front of your truck. (Do not misunderstand, I am not hating on steel bumpers. I just feel you should be aware of the tradeoffs and make the decision that is best for you.) However miles from civilization the steel bumper will increase your likelihood of being able to drive back out with minimal damage from small or moderate incidents, because it will not sacrifice the front of your truck.
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Bed wise, I use my truck to haul “stuff” a lot, and I really like having bed sides and a tailgate. If you are planning on a gooseneck or 5th wheel, a flatbed can make a lot of sense though, and you can fab up some bed sides if you need them on occasion.