That first link to an Aussie diff, is only for an open diff install. If you have an LS now, the factory clutch diff, then that unit won't go into it.
That 2nd link is to a non Ford 8.8 gear set, I would avoid that. The Ford gears have a much better reputation of having no installation issues, no noises etc, easier to set up the pinion bearings etc.
Here's one link of first page I searched for "8.8 Ford ring gear 4.56", the $165 price is likely typical. Not may big sellers carry the Ford gears, but I found many when I was hunting 3.08:1 gears.
Ford Performance 8.8" Gear Sets No one does 8.8" gears better than Ford Performance - stronger and quieter. The 8.8" rear end has been the standard in performance since its introduction in the Mustang in 1986 and Ford Performance is the manufacturer of choice when it's time to hop-up your axle...
accessories.ford.com
Here's another link for Ford 4.56 gears, note shipping isn't part of pricing I'm sure;
Buy Ford Performance 8.8" 4.56 Ring Gear And Pinion - PN: M-4209-88456. Shop discounted parts & accessories & save up to $28.66. Fitment, price & details available.
www.levittownfordparts.com
The front gears I discovered choices are more limited, so hunt a better brand. I chose Dana/Spicer, who is right behind Ford for the best gears, there are several lesser brands and a couple others just behind the Spicer too.
Here's a front Spicer ring and pinion, $300 which seems typical for the front gears(better brands);
GEAR SET 4.56 RATIO, 26 SPLINE PINION
www.drivetrain.com