Okay, I have the official answer from James, which clears the beginning of turn stuff up a whole lot for me.
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There are a few important things to keep in mind.
First is that response actions that trigger "At the beginning of your turn" must be played during that timing window if you want to use them. That is the only restriction in that regard. You do not have to trigger them first or anything like that.
Second, it is also important to know that an action window does not close until both players pass the action window in succession. (Example: At the beginning of the turn, you trigger the Clan Rats action. It resolves. I pass on triggering any actions. You then get an opportunity to trigger another action in this window. If you pass on triggering any actions, the window is closed.)
Third, once a stack begins to resolve, then there is no opportunity to play additional actions until after that stack has completely resolved.
Finally, units do not restore until the Kingdom Phase.
So, for your example.
You can first trigger the clan rat's action to give a power to a rat ogre.
Then, once that action has resolved. You may in the same window then trigger the rat ogre's action. (restore all corrupted skaven units)
Once that has resolved. You may trigger the clan rat's action again to give a power to a rat ogre.
Once that has resolved. You may trigger the second rat ogre's action. (Restore all corrupted skaven units).
Once that has resolved. You may trigger the clan rat's action again to give a power to a rat ogre.
So, you can trigger the clan rats 3 times in that action window.
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So yeah, when you have an optional "at beginning of turn" action, you can play it any time in the action window before the Kingdom phase.
Also note that he confirmed what we thought about how the stack resolves - i.e. once it starts resolving, you can't play additional actions till the whole thing resolves.