I'm thankfully almost done with this stool.
First, I cleaned all the wood. Here is a before...
Then I did the glue up. I used one clamp, because that was the only one available that was long enough(okay I don't even have a clamp over 6", this one was borrowed from my dad). This resulted in a little gap between the shoulders of the tenon and the bottom of the top.
After that, I put some small wedges in the through tenons. Now it's ready for a oil finish and wax.