Luno in my humble opinion is the best cryptocurrency wallet for me simply because it is more simple to operate, Navigating around Luno is very easy for me, infact without any knowledge of cryptocurrencies, anyone can open a Luno wallet. It is also very secured, all my time of using it, I have never had any issues with it.
Binance on the other hand is not that secured owing to the fact that it has been hacked on several occasions, I will never use that cryptocurrency exchanger ever again. It may have more cryptocurrencies to exchange but it limitations makes it not ideal to me.