Yes, Count Dooku and Darth/Lord Tyrrannus are one in the same.
I myself just came back from watching the moving about a few hours ago. I thought it was an excellent movie, a little better than Phantom Menace. But like most of you said, the love story between Anakin and Padme (Amidala) did drag down the movie a little during the middle and as Kabuki Magnifico posted, wasn't very convincing.
Some of my highlights from AOTC include:
Battle with Yoda- We finally get to see the most powerful Jedi duel with a lightsaber. Man he's fast!
Arena/Land Battle on Geyonosis- It was really cool to see dozens of Jedi Knights fighting against the enemy droids and the clone soldiers helping them out.
R-2 and C-3PO- Their comedic performances were very entertaining at times; especially during the battle scenes against the droid army.
Death Star Hologram- I don't know about you guys, but I never saw this coming. It surprised me of how they were planning the construction of the Death Star this early in Episode II.
Darth Tyrannus/Count Dooku- He is indeed a villain worthy of the Sith name. (BTW, do any of you know why his lightsaber handle was bent? Is there a reason or is that just his trademark, like how Darth Maul had a 2-way lightsaber?)
And as for my favorite quote:
"Why do I feel you'll be the death of me?"
-Obi Wan Kinobi talking to Anakin while entering the bar.
