not if when i'm using a new address i also use a new entirely wallet, in this way every new address will not be a input for an old address, and there is no connection whatsoever between any of my address...
...see above, this can simply be avoided by using a new fresh wallet everytime and not simply by creating a new address on the same wallet, in this way there is no connection with hidden address of any kind
And how do you get the funds into that new wallet? You still need to send it there from the old wallet and that will link the two together.
You can use a mixer and that's exactly what they're for and if you're concerned about being anon people should be using them. Of course this adds a bit more hassle into the process but that's the price you gotta pay for anonymity.