Best approach for 2FA with Lastpass

[Mr Technician]

After switching to lastpass I quickly realized that it is capable of autofilling 2fa codes which sounds great in theory. What I don't like is that Lastpass is a single point of failure. Sure, the 2FA codes still protect me if someone managed to compromise the password of one site, but if my entire lastpass account were compromised the two factor codes would be worthless. What I'd like to do instead is use a separate service for 2FA. I've tried Authy but it doesn't have any autofill features like lastpass does and has potential sim swapping concerns. I know opinions will vary but what other 2FA services would work well alongside lastpass?

[TheBean]

if you are concerned about lastpass being a faliure point, you shouldnt have autofill in the first place. this question is kinda hipocritical if you get what im trying to say. 

[Mr Technician]

2 hours ago, Saksham said:

if you are concerned about lastpass being a faliure point, you shouldnt have autofill in the first place. this question is kinda hipocritical if you get what im trying to say. 

What? I'm not sure you understand what I mean. The point is that the 2FA codes are on a different service.