price is moving up, that means dividend per token is probably good.
If we have our taas in taas fund wallet, do we have to nominate an ether address to receive the div or how will it work?
you don't have to do anything, you will receive dividend automatically in your taas.fund wallet.
Is it ok to keep my coins on the online wallet (
https://wallet.taas.fund ) to receive coins?
Does some kind of hardware wallet for Taas exist?
yes, it's fine.