If I do this, I have to pay the proper fee (nowdays higher), and wait for the transaction to be confirmed, and that's all?
Yes. You will need to make a Bitcoin transaction in order to begin using segwit addresses for all of your current coins.
I think you should wait till November since it's not necessary to use it right now.
What makes you think that segwit will be necessary in November?
I would advise you not to do anything yet, wait until the Segwit is accepted by all users
That's just false and a bunch of FUD. Users can't say "I don't accept segwit coins". That isn't how it works. Since segwit is already activated, it can't be deactivated without all users agreeing to deactivate it (i.e. it requires a hard fork).