The BPS is really good. I like how you made the client younger (without implying age) and more hip than before. It’s definitely a new angle.
As far as the name, that’s a tough one. It’s a good name, but I wouldn’t really know if it is trademarkable personally. It seems others may try to keep new people with similar names from getting new trademarks that they could block. It COULD be done, but it may require a longer process to get it done.
Also, the name doesn’t inspire the cool and stylish BPS as it’s more of a “homey” vibe of a name.
Did you try brainstorming some names around that?
The first thing that came to mind (though I would not use this) is “Hipster Home.” Hipsters don’t like to be called hipsters. Lol.
But that’s the kind of person I am envisioning even though, you yourself may not identify as a hipster…this has a very hipster feel. 🙂