Beginner's Questions On My First Delegation

I just had my first transaction today, withdrew coins from CEX exchange into my Deadalus wallet.
Since this was my first crypto transaction ever, I just tried with a very small %.
Of course, I would like to move all my coins from CEX into my wallet, to be part of the voting in Catalyst, etc.
I also delegated the wallet, and Im waiting for my record to appear in adapools.
I understand my whole wallet is delegated, and now I need to wait for the current (240) and next (241) epoch to finish, and then I would be eligible for pool rewards (if any). (Although I read somewhere it takes 4 epochs?)
My question is, when I move the rest of my coins, how much time does it takes for my stake participation, percentage, to be updated in the pool? My guess is it should kick in on the following epoch, right?

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