Noob braucht Hilfe

Just my opinion. I would just get the S. No battery is an advantage and you won’t need the extra space with just Eth and BTC. I have two S devices; you could do the same :-). I am fine with quickly deleting and installing another App but you won’t have to do that.

I think the cheapest way to buy is on the exchange. Eth fees are high but there are windows when its „cheaper“. I look at Friday evenings (EST) or Saturday mornings. It is good to get it off the exchange but you could leave it a bit longer and move them in larger batches to reduce fees. That would be true for both Eth and BTC.

Good Luck

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If you can, wait for the S Plus. It’s due to be released soon, maybe next month. It has a larger screen than the standard S and greater storage capacity. And (wishful thinking) hopefully will be of better build quality than the standard.

Buying within Ledger live is too expensive.

I would buy on Binance (as you mentioned) and then send to the Ledger when you have a good amount worth sending. This will help reduce the fees instead of sending every time you buy. That will mean keeping the crypto on Binance for a period of time but I think that’s ok if you systematically continually send it off Binance to cold storage.

I’d get both and actually have both. Here’s why:

1. You’ll want a back up.

2. You’ll inevitably need more capacity because what is “just BTC and ETH” now will certainly grow to more crypto in the future. Trust me. 😉

When you „buy straight from Ledger Live“, you still pay the same gas fees, as bought Ethereum is transferred to your wallet via, well, an Ethereum transaction.
So there’s zero point buying from Ledger Live, besides extra convenience.