Oh, that's great! I love this, and I'm very wary of any version of them, because, yeah... sometimes it's fun (like this) and other times sad, sad sadness that makes does neither character any favors at all when Dick and Babs try to be a 'real' couple.
This, though? Good, fun, successful teamwork.
Love the setup and characterization in this story. It plays to both of their strengths as characters. She has things to learn but does it without having to prove she's good enough and fighting a father figure. She just learns them. He uses his amazing leadership and people skills, which is always fun to see. Love the lockpicking discussion.
(On a side note, as other posters have noted, Bruce/Babs creeps me out a ton. Ew. Father and son. Ew. Icky for Bruce, even ickier for Babs.)