The essence of that long writing is only one!
Use the DOGE Wallet! .

You don't need to bother downloading wallet or searching wallet, you only have Binance account and local Exchange account to save DOGE.
It will make you happy and will not tell you sad again in this thread.

I learned on my skin not to hold my coins on exchanges. I usually use them to buy gift cards, so I need a wallet. And Doge wallet isn't the right answer as far as for now. If there's a chance to improve how to store them and spend them, why not to try it? Currently I use Melis wallet (melis.io) for BTC and BCH, which has some special features that no other wallet has. For example: spending limits, the possibility of doing advanced transactions (i.e. unspents selection), multidevice, multiusers, a special feature able to recognize the access to the wallet by a designated primary device that is the only one able to access secured accounts, accessing the wallet from every other device would be impossible to know that there are hidden accounts (with plausible deniability), private keys in the users' hands, TFA, ecc.

But, expecially for Doge, multisignature transactions that as far as for now are inexistent.

That is just a short list of their features, there are more. For this reason I was wondering if it could be asked their team if they can implement Doge in the wallet infrastructure. You know, in order to give further possibilities to those who use Doge. An advantage over the other coins.