Meredith Katz's The Cybernetic Teashop is a novella focusing on two characters: a technician called Clara, who likes to wander from city to city, letting her job take her wherever she feels an urge to go, and a robot called Sal, who has been running a teashop for almost 300 years, since long after her original owner (and partner) died. 

The solution is obvious in the setup: Sal is slowly beginning to fall apart, and Clara's got the knowhow to fix her. But that isn't all there is to it, as they also form a personal bond, and become partners. There's a bittersweetness to it since we know Sal will long outlast Clara, but the way it works out is very sweet: Sal is ready to begin taking new risks and doing new things, and Clara has someone who will go with her.

Also, a particular highlight is Clara's pet/robot, Joanie: she isn't quite sentient but still packs plenty of personality...

I really liked it, and though there are some shadows over the story (such as persecution of Sal for being a robot), it's overall really gentle and warm.