Thank you.

[Erwin would have (politely) just barged in anyway, but it's good to have permission from both members of the household now.]

The same extends to you, for my house, since we're right next door to each other. In fact...

[He shoulders his tote bag and offers her his arm.]

If you're headed that way, may I walk you home?

[Not that he thinks she needs his protection, she looks like someone who can take care of herself, but manners are important.]