Remove the door panel, then there will be a steel plate behind that, remove that also and unplug all power features on the door. It a very tight spot, and you'll have to remove your lock form the old one and put it in the new one. you'll see the clips, release them and it'll come out. needle nose pliers and long screwdrivers will help
on a 96 chevey Tahoe you take the panel off the inside it allows acess to the bolts holding it on
Pull the inner door panel & the handle unbolts from the inside (make sure the window is up before you disconnect the switches
Sounds like you left a retaining clip loose on one of the pull rods.
Open the door, and look at the door in the area that is above the latch. there is one bolt that looks out of place... remove it, and then pivot the handle out and away from the side the bolt was located (towards the front of vehicle if on left side, etc) then before pulling out, look at the old one, and take note of how the handle is attached, so that you can attach to the new one in the same mannor.
See answer for replacing the driver's side. Same technique applies.
take it to the dealership. part is only about $32, but it needs to be riveted on. This would depend on the model, I had a 1996 Tahoe, and I have replaced interior, and exterior door handles with no problem, none of them were riveted in, all screwed in.
How do you replace a transmission modular automatic on a 1998 tahoe
How does it cost to replace a 2003 tahoe transmission
It is not too hard, I have had to replace on similar in my '95 Chevy and now I have to replace one in my '99 Tahoe. You can get the assembly at your local parts store. The assemble includes the locking mechanism as well. Part is approximately $30 - $40. I believe yo do not have to pull the door panel off, Just the molding around the handle. Here you may have to drill out the welds by the factory. Then you use the screws that come with the part. Make sure you notice the way the linkage is connected to the handle on the broken unit. install in reverse order. I hope this helps Pete
How do you replace a break light switch on 1995 Chevy Tahoe
It is on the driver side on the frame under the Tahoe
$275 from a reputable service department. If the frame isn't damaged you might be able to get a replacement mirror for as little as $25.00. If you have to replace the whole thing it might get ugly.