Either one of those will work. Have you considered the Torin Big Red 4T version since it comes with a carrying case and is cheaper than either of them ? 4T = 8,000#. Truck max weight is just over 6,000#. Each corner couldn't weigh more than 3,000# so you'd have a considerable safety margin.

I personally deleted the bottle jack from my truck and carry my Hi-Lift Extreme 60" Jack for tire changes. Much more versatile as it can be used as a 60" jack (lift teetering vehicle in ditch), a come-a-long/winch (winch failure or rear winch) or to separate metal in the event of a rollover (off road jaws of life). Yes, they require practice to be used safely. I routinely lift my truck (ARB bumper has slots specifically for a hilift, or my NFAB RKRs, or rear tow point) with mine to know how it behaves if I have to use it for real. I have a Knockoff Hi-Lift 12" base and Hi-Lift Jack ORK Off-Road Kit to unlock those capabilities or make it more stable.

 

I have this Lug Wrench:

PowerBuilt Billy Club Lug Wrench
https://www.autozone.com/shop-and-g.../shop-and-garage-tools/lug-wrench/p/powerbuilt-billy-club-lug-wrench/663432_0_0

 

I went with the Gorilla wrench for carry in the truck: Gorilla Automotive Products

 

I've got a dewalt 20v atomic I keep in the truck w/ a couple 5 amp batteries that has been proven now to rip lugnuts right off - whatever brand batteries you got, something like this speeds it right up too. And yeah 22mm impact socket is the right thing.

Below is the home depot link and a butt rape price, mine was new in the box for $120 on Ebay (that's tool only, have a pile of the 5 amp batteries and dewalt 20v stuff so I go that way). For whatever reason, Ebay always has piles of good deals on new tool only stuff.

Or at a minimum a decent breaker bar and extension, socket, beats the hell out of the tool they come with too for short $$

ATOMIC 20V MAX Cordless Brushless 1/2 in. Variable Speed Impact Wrench (Tool Only)

 

For impact sockets I personally have 6 and 12 point metric harbor freight set from maybe 10 years ago. I also have a few tekton sockets and torx bits that either I needed or had to replace. I would also recommend sunex, I only have 2 sockets but both are life savers. Their 6 point, deep socket thin wall universal wobble socket in 3/8" is worth its weight in gold.

 

I went with a 6 ton from HF. Simple install and fit perfectly.

 

Looks about perfect and since my truck didn't come with the jack this is what I need to do. Had a sidewall rip open a little while back and was disheartened to find the stock wrench kit, but no jack.

 

Myself I bought a long HF breaker bar and snagged a socket from my tool box and put it under my rear cargo deck. I did a rear seat delete.
I should double check and see if my socket fits. In the past ( my 05 )I have used the OEM jack several times and it got the tire changed, my worry is how tight the lug nuts are and how crummy the OEM wrenches are. YUCK
YMMV
Luck

 

This lug wrench and jack is what I have gone to.

Amazon.com

Powerbuilt 3-Ton All-in-One Jack at Tractor Supply Co.

Find Powerbuilt 3-Ton All-in-One Jack in the Bottle Jacks category at Tractor Supply Co.Lift, lock and level with the Powerbuilt 3-Ton All-in-On

www.tractorsupply.com