All online wallets in my opinion are safe, I have also used an online wallet for a long time and have never experienced any problems, a secure wallet all depends on you in managing it and maintaining a password or private key.
There's always a way for you to still keep your investment safe, maintaining secure password and keeping
your private key away from the eyes of the hackers.
You can add google authenticator and any available like email securities, it's jut up to you if you continue to
use online wallets, just be well aware.
There are known available wallet that you can choose, make it a habit to check and research so you understand
all the features and how to secure things more appropriately.