Can we bring our well behaved dog into the store?

Yes, you can!

You would have to ask the store manager but some Lowe's stores don't seem to mind

Yep sure can

inquiries to Lowes about canine corporate policy after 2012 received an official stance of “service dogs only,” yet many individual locations are still reported to be dog-friendly by customers.

I see alot of people bringing dogs into Lowe's these days, reminds me of Germany they take there dogs everywhere

Yes