Any news if Binance will distribute ONT to the NEO wallets? Thanks.

there is a reddit post that binance will distribute ONT to neo holders

So should I move all my NEO to Binance or will I be able to collect the ONT in my neo-gui wallet or will there be a new NEO wallet that accepts ONT ?

NEO-GUI is official wallet from official NEO Website https://neo.org/download so should be no problem with receiving ONT airdrop 👍

make sure you have private key to your Neo wallet, safer than leaving your coins on exchanges

Are there any details known on how they will distribute? Do you need to apply?

Airdrop ratio: Each NEO will get 0.2 ONT (50% of which are freely tradable and the other 50% are automatically locked).
The snapshot of NEO addresses will be done at block height 1974823, which is estimated to be at March 1st, 2018, around 5:00 am (Pacific Time).
Delivery of the first ONT tokens will be completed in the weeks following March 1 (0.1 ONT per NEO). The other locked half (0.1 ONT per NEO) will be using the same snapshot, but will instead be airdropped on the Ontology MainNet. Ontology MainNet is expected to be released in Q2, 2018, specific date depends on how the Ontology TestNet is operating. Further details will be released.

So it is granted automatically? You don't need to fill in a special application form or so?