I did this very job on my TR3. I have a post 60,000 car. The trunk floor is different between the pre and post 60K cars.
It took me several weeks working nights to cut the old one out and weld a new one in. The main difficulty involves the spare tire compartment that is welded to the trunk floor. On the old floor, I cut around the flange of the spare tire section...both inside and outside of the flange. Then I was able to remove the rest of the metal on the flange itself, mostly by grinding. The new trunk floor has a lip at the front that get's welded to the section where the fuel tank sits, but that's as far as it goes. At the back of the floor where it meets the back, there is alot of dum dum smeared in there. It may seem that the new trunk floor doesn't go back far enough, but it all gets filled in with this putty. The old stuff I pulled out was still pliable after over 40 years. When you go to put the new panel into the trunk, you'll contort it about 50 different ways trying to get it in. I don't remember the sequence, but it does fit.
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Edit: One other thing I thought about. The spare tire compartment will kind of be hanging loose after the floor is removed. While it was exposed, I did whatever finish work I could, as you'll never have access like that again. When I went to weld in the floor, I had all the plug weld holes already drilled in the new panel, and used a few sheet metal screws around the perimeter of the spare tire compartment to hold things together while welding. You can then remove the screws and weld the holes shut. It's a big job, but if you take your time, it will go well. I also had a bunch of rust to cut out of one of the inner fender wells, and did that as part of the floor repair. You can do the same with the section just forward of the floor on your car. You should be able to fabricate what you need for that from some sheet metal, as it's not a complicated section.
If you want, I can send you some pictures of the completed repair, pointing out some of the things I did.