Main issue since your Tahoe has airbags and the seats you bought do not have them. The issue is the airbag seat is made a creation way so when the airbag blows the seats rips or the thread used breaks away real easy. They even sell airbag seat covers for this reason. Have to ask yourself will you be driving this car only or will you have wife/Gf/significant other will your kids or grandkids riding in a seat without a side airbag in the seat. Also have to think if your auto insurance find you removed a safety device and someone is injured based on this they might denied coverage (just overthinking it).
2 things before you begin this 1. careful taking the back panel off the seats the bottom hooks/tabs bend easy.
2. Airbags are dangerous you are dealing with a explosive device, Make sure to unplug battery and cycle the key couple times and touching anything metal to discharge yourself before unplugging the yellow connector (all it takes is a 9 Volt battery to set it off). Then when swapping the airbags touch something metal before handing the airbag cover the airbag connector in electrical tape, Keep airbag away from your face, place the airbag face up on wood or anything that will not conduct electricity.
Good video to start
The easiest was I see doing this is to swap the leather cover to the old seat Foam and frame and not remove the airbag.
If you do want to tackle this project contact local car upholstery shop on advice and quotes.
I use Motor medic Valve medic first before I do any valve or lifter work have fixed a couple cars with DOD and couple 5 cylinders volvos.