By far the safest method which also provides a layer of anonymity since there is no KYC/sign-up/accounts is Blocknet's Block DX exchange.  The DX showcases pure atomic swaps directly from your core wallets which is the safest most decentralized method currently known to man.

Check it out as people review the orderbooks regularly looking for orders to take:

https://blocknet.co/
https://blocknet.co/block-dx/


Also, this DX is highly recommended for any parties out there looking to do planned OTC swaps vs something high risk like Escrow trades with admins overseeing the process.  There are over 100+ compatible coins on the DX so whatever you're trading is bound to be compatible.