Questions about staking Ethereum

Crypto newbie here! I have acquired some ETH which is stored offline on my Ledger.

I'm looking to stake this but there is a lot of jargon and different companies and steps along the way and I'm a bit confused and can't seem to find a solid guide that explains everything.

I have a number of questions here after doing a few hours of research, so I hope this makes sense.

1. So far, I've been looking at Lido to stake my ETH. But in order to do this, I need to connect my Ledger wallet – do I do this through something like MetaMask or WalletConnect?
2. If I use these services (MetaMask, WalletConnect), does the ETH stay on my Ledger wallet or does it now go onto MetaMask's balance? If it goes onto MetaMask, why even have the hardware wallet? Or does it go to Lido, in which case I'm not sure I understand the point of MetaMask?
3. If I stake with Lido and get stETH, where is this stored? Can I store this offline on my Ledger?
4. Am I understanding correctly that these are some of the alternatives to Lido – Compound, Aave, Binance?
5. Am I understanding correctly that these are some of the alternatives to MetaMask – Argent, WalletConnect?

Thank you very much!