Ok!
By the way I tried to move 1950000000 instead of 1960309531, IT WORKED!
cardano-cli transaction submit \
--tx-file tx.signed \
--mainnet
Transaction successfully submitted.
I still need to understand why, but that 0 you said was the problem I guess.
I will continue to test because I need to move the remaning 500 ADA used in the past for the stake pool setup.
Thank you so so much to you and @Alexd1985
A big virtual hug from Rome!
I will let you know about the remaining 500 ADA, how it is going 
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That guide is for the general case that you want to keep a part of the funds on the same address.
In that case and only in that case you need to have a change output back to that address and that is what is calculated in that step and then added to the transaction by:
--tx-out $(cat /home/alessio/cardano-my-node/offline/cold-keys/payment/payment.addr)+0 \
If you already know that you want to completely empty the address there is no real need to compute a change output (except maybe as a control). You already know that it will be 0.
And you leave out that output completely. You cannot send 0 ADA to an address. You just omit the whole output.
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Hello all,
I was able to move all the ADA, also from the rewards.
Thank you again for your time and patience !
Best Regards
Alessio
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