I like it!
My opinion:
The jump cut of Anakin landing on Zam’s speeder would be funny and appropriate I think, but it would be better to give some visual continuity on the Obi Wan-Grievous fight since it’s later in the movie at a more serious time.
I would keep Dooku as a Sith or at least a fallen Jedi for the sake of convenience. This would just mean leaving in his part in ROTS.How will you handle the time transition between AOTC and ROTS?
Yes, as I said the transition in the Grievous fight is pretty jarring, but it’s kind of tricky, because showing the whole fight would take the focus away from the Coruscant plot for a longer period than I’d like. Therefore I figured I’d cut at “Hello there” as a sort of cliffhanger, but maybe it would be better to at least show the Clones arriving to help. Dooku is still a fallen Jedi. I’ve kept the scene where he talks to Obi Wan while he’s captive. Part of the reason for not making him a Sith was honestly that I don’t like either of the fights he’s involved in.
The AotC portion will end with Palpatine gettin his powers and declaring war. Obi Wan is about to executed in the arena when the clones and the Jedi arrive (I’ve edited this sequence as a montage and I’m pretty happy with it). Anakin has his big rant. Yoda lamments the war. We then cut to the battle above Coruscant, maybe with a three years later subtitle. Probably the most basic transition possible but I don’t have any better ideas.