I'm not sure what type of hardware you're looking to use (i.e. a computer or a smartphone),
I'm looking for a solution for a low-spec desktop computer/notebook.
I know a pruned Bitcoin Core node would also be an option, but the problem isn't so much the 500 MB-few GB of storage of this option, but the time until I'd have synced the blockchain. I'm looking for a solution which would be there instantly, to be used flexibly, like a SPV wallet.
If I don't find such a solution I'm perhaps even able to code it myself as an Electrum extension as I know a little bit Python.
There is one wallet that purports to keep all your transactions private but I'm not sure how it works so I'm not recommending it, but Unstoppable Wallet claims to have those features. It may be worth looking into.
Thank you. I'm looking at it and if it has the feature I'm looking for, I'll report it in this thread

So, basically, you're looking to add fake data to your address to hide which ones are yours. This could more or less be accomplished by adding other addresses to a watch only Electrum wallet.
Not exactly. That could still be used for chain analysis. I think the approach to download and verify blocks myself is more private.
But isn't it much easier to use Electrum over Tor?
Of course, and that is also my current solution

However, I'm looking for something a bit better
