Sort:  

Seems like they’re simply going to show up in your account. But check Stellar’s webpage on the 27th to make sure what the correct procedure is.

I'm not really sure, if I should trust Poloniex regarding this airdrop...

Yeah, I would feel the same, considering how Poloniex behaves lately… I myself am keeping my Bitcoins on a Ledger Nano S. I will be happy to share here if I’ll manage to claim my free Lumens successfully, once the giveaway goes live.

Great, they announced after the snapshot, that they are not participating.... https://twitter.com/Poloniex/status/879511304075083781

Poloniex Poloniex Exchange tweeted @ 27 Jun 2017 - 01:26 UTC

1/2 - It is not clear to us why Stellar included our name on their site as participants in the 6/27 giveaway.

Disclaimer: I am just a bot trying to be helpful.

Check this for your Nano S : https://www.reddit.com/r/Stellar/comments/6jv0zo/claiming_lumens_with_ledger_nano_s/

People say it's work, i will try tonight probably

This is exactly how I did it, but thank you for the tip! :)