What color door stain?

I have this white builder grade door.

We also have this wood door we bought years ago and never installed.

I want to stain it and replace my white one.

Question. Do I stain the trim around the door? Or, do I leave the trim white to match the hose trim?

I don’t want to paint/stain the trim in the house.

And darker stain, or medium wood stain?

See pics :

Pic of white door and newly added stained door, with and without the stained trim