Mobile and desktop wallets are roughly equally safe (You shouldn't store big amounts on them).
A fullnode wallet (BTC Core) downloads and processes the whole blockchain (150GB+).
A lightweight wallet does not need to download the whole blockchain. It uses an online service to communicate with a fullnode
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[1] https://bitcoin.org/en/download
[2] https://electrum.org/#home
Thank you for your feedback.
Since I'm clearer on which coins stake now, or at least only PoS or a hybrid of PoS, and therefore not BTC, I may not opt for the hardware wallet requiring the whole blockchain, or a fullnode wallet (I somehow associated that with gaining staking). The idea of a lightweight wallet may be more practical for my needs, and not necessarily a dedicated Bitcoin wallet as I had thought.
I may think about possibly using in combination with a paper wallet to send bitcoin I'm going to hodl in, leaving a smaller amount in a desktop wallet.