EOS on Bitshares Question!!!!

Hello all!

I currently hold GDEX.EOS and OPEN.EOS on the Bitshares DEX. I have only received Everipedia airdrop (GDEX.IQ) and nothing from Openledger yet. Does anyone know if I am still able to access ALL my airdrops and send them to another safe wallet to where I can receive all airdrops in the future and not rely on an exchange like openledger or GDEX?

and,

I know BTS DEX is safe but I'm thinking about only holding my BTS there and my EOS somewhere else. Suggestions?