Glad you took it out. I've done two, and yes you just ought to take them out to work on them.
I bought a new one from Randy Keller in Santa Ana, and for my other I just re-used it after a good polishing, but often look at it and wish I'd replaced it with a deeper richer wood and grain. Some other day.
You should install the new upper dash pad first, if you are planning to do that. They are fairly cheap to buy, but you have to remove the windshield and that can be a hassle if the sleeves under the dash are bound up or rusty. The trick there is to remove the screws, then apply some oil, then grab the sleeves and rotate them back and forth. The windshield will slide right out.
Forget that if you already did it, or if you're not doing that at all. No big deal. Aesthetics and preference.
But the other crash pads all go on later. Last. After the dash is in. Otherwise a number of things can happen--you'll be forcing the fit, potentially damaging things, and they'll just be in the way.
Be careful not to force anything on the dash. You'll have to adjust a bit. The signal and ignition light may also require adjusting.
Also, careful not to damage or lose your backing plate for the grab bar on the passenger side, and be sure to lubricate and clean up all the nuts, washers and studs on the crash pads/grab bar. Also, if yours has it, don't forget to attach the side bolt that strengthens the switch plinth by securing it to the dash side structure. That gives better strength than merely the front screws that hold the plinth to the dash.
You may want to call around for new chrome screws as well. They'll look better. And use some "Mothers" on the chrome rings around the gauges, and maybe order new gauge gaskets--they cost 3 bucks.
If your steel dash frame has rust, I'd suggest you sand it all off and paint the frame before reinstalling it.
Good luck.