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I'm looking for a bitcoin software with a full-featured wallet functionality and running a full node, but I cannot find any.
Bitcoin Core does run a full node and the network capabilities are great, but the wallet functionality is very limited, it does not support BIP39 mnemonic (so there is no easy way to store the private key on paper for security), the addresses are stored on disk without encryption (it does encrypt private keys, but only that). So any backup have all this data.
On the other hand, electrum wallet seems to support everything, but it connects to electrum nodes only (it does not connect to the bitcoin network) and it send public address there to query for transactions.
Is there any alternative I'm missing? I thing that any sofware that make the wallet side of the equation while connecting to the full node I'm already running should work, but could not find any thin client wallet for bitcoin.
re: "but the wallet functionality is very limited, it does not support BIP39 mnemonic" -- I wouldn't call the Bitcoin-core wallet limited at all! It doesn't support BIP 39, so I understand your frustration there, but otherwise it has extremely broad transactional capability. I don't know of a wallet with more fine-grained control. – chytrik – 2019-07-17T01:04:39.423