Rules Lawyers: Magosi the waterveil with Amulet of Vigor

[Fountains]

OK, so here's my question.

Magosi, the Waterveil enters the battlefield tapped.
Tap: Add U to your mana pool.
U, Tap: Put an eon counter on Magosi, the Waterveil. Skip your next turn.
Tap, Remove an eon counter from Magosi, the Waterveil and return it to its owner's hand: Take an extra turn after this one.

If I have multiple amulets in play, can I untap, add the aeon counter, then untap for the second trigger and use the extra turn ability. I'm probably mistaken on this, so please correct me if I'm wrong. If you have a skip a turn effect and a take an extra turn effect both on the stack which resolve at the same time, shouldn't I get to choose which resolves first?

[theLastGnu]

You can let the first Amulet trigger resolve, tap to add a counter, let the second Amulet trigger resolve, and activate it's other ability. However, all you will have accomplished by doing this is losing a blue mana and losing a land drop, since the skip a turn and take an extra turn will cancel each other out.

[Fountains]

I was under the impression that triggers didn't work that way. I suspected that wizards wouldn't be dumb enough to basically make a time vault/voltaic key in standard.

[DubDub]

While the combo is not standard legal, you can achieve infinite turns with Garruk, Rings of Brighthearth, and Magosi:
U, Tap: Put an eon counter on Magosi, the Waterveil. Skip your next turn.
Untap Magosi (and another land, probably) with Garruk.
Tap, Remove an eon counter from Magosi, the Waterveil and return it to its owner's hand: Take an extra turn after this one.
Pay the additional 3 to copy this last trigger with Rings.

Now instead of a skipped and extra turn (that annihilate), you have one skipped turn and two extra turns (which equates to just one extra turn).

[Anusien]

It doesn't matter what order you resolve the "take an extra turn" and "skip your next turn" abilities resolve in. Skipping your next turn sets up a game rule that skips your next turn. It doesn't skip a particular turn, just applies the next time you would take an extra turn. So you can't "skip your next regular turn" and then take an extra turn and just get to go on forever.