There will always be different opinions, but my opinion is that storing your TOTPs in your password manager is at best a reduction in security because you're reducing your 2 factors down to 1 factor. If the password manager gets compromised (even phished! It needn't involve the password manager's servers getting hacked), then you gain nothing by having 2FA enabled.
I would strongly advise using something like Aegis on Android, or Gnome Authenticator on desktop (or both). I like to duplicate/backup my seeds so that I'm not SOL if my phone breaks, but I do it by having them on my laptop, desktop, and phone. That way as long as I have one of the three devices, I can always get in, and then they're not "in the cloud." Though, "in the cloud" is still better than "in the cloud alongside all my passwords."
I would strongly advise using something like Aegis on Android, or Gnome Authenticator on desktop (or both). I like to duplicate/backup my seeds so that I'm not SOL if my phone breaks, but I do it by having them on my laptop, desktop, and phone. That way as long as I have one of the three devices, I can always get in, and then they're not "in the cloud." Though, "in the cloud" is still better than "in the cloud alongside all my passwords."