I've used both and I would recommend both (be aware that Aegis is just a TOTP generator, it can't hold any passwords).
If you want to save passwords and TOTP than you have the option of using KeePass password manager and some of it's forks like KeePassXC and KeePassDX for mobile devices.
I think that Aegis is still better option if you want to use it only for TOTP, but both of them are good open source options.
Everything is stored and encrypted locally and there is no use of cloud services aka computer of someone else.