I use a password manager personally, but my work uses a different application. Both common names in this space.

Android lets me set one password filler, but I don't see how to go about having two active, if that's even possible.

Ideally, I'd like to keep the application/web credentials for work in the work password manager, and everything else in my personal one, and get recommendations/autofill from only the one with a matching app ID or URL saved.

Any tips?

I have both installed, but opening the work password manager every time I need it is annoying.

You can install two, but I only think you can have one active at a time to supply auto-fill. It might be possible if you leverage a work profile and install the work password manager in the work profile, but then it'd likely only autofill for apps that are installed in the work profile -- which honestly, is how you should be compartmentalizing things anyway, if you use one phone for personal and work functions.

Definitely keep personal and work stuff separate. Doing otherwise might get you in trouble with your workplace. Credentials are absolutely sensitive so storing that in your personal device or personal cloud account can be a security risk, especially when it is mixed with your personal files.

I am currently using bitwarden but with 2 separate accounts and the work account is logged in a separate work profile. My personal account is not logged anywhere in work devices either. When I am switching jobs, I would probably mass delete everything without affecting my personal entries.

But coming to the actual autofill part, it is pretty much impossible to use 2 of them simultaneously as a service afaik. You can only keep 1 active and manually copy paste for the other. But if you are using the same app for both, bitwarden lets you log in 2 accounts but you still have to switch between the accounts for it to kick in. If you don't care about security risks then you could use share functionality to share one account's vault to the other and keep everything accessible with just 1 account but obviously not recommended.

Also any particular reason you cannot share the apps in question?

EDIT

Hold on, looks like you can have multiple password services enabled now, at least going by the description on my android 17 phone. Not sure if thats new or I just misunderstood it back then.