Come to think of it, we're cultivating HDW this month, right? Exploring the Connections of the household, and in particular the way they relate to people Ling Qi already cares deeply for, would be a suitable way for her to branch out her interest and consideration. Heck, Su Ling is apparently hanging around the household, this could be the chance for Ling Qi adopting the surly fox into her internal hugsphere officially.
I realized Su Ling is probably hanging around because she came to see Li Suyin while she was working on the formations. Something must have happened to get her to keep coming back. Maybe she got pressganged into being a babysitter. Oh, or she had a herbal remedy for some kind of illness or injury in one of the staff Lung Qi never bothered to notice. That would actually be a really poignant thing to drive home Ling Qi's inatention.
As for the order of the two events, there's a few reasons I favour checking out the family first. Striking while the iron is hot is narratively satisfying. The nature of her Domain relates to close emotional bonds with others; this is highly relevant to Hanyi and Zhengui, but essentially irrelevant to Bao Qian. Historically, things we choose first are given greater internal character weight, with second choices recieving less detail or impact. Our Domain is in no way dangerous to anyone, much less our family. That worry is basically groundless.
If you're voting for working out because you really want the family scene to be extra special, I'd remind you it's not how things have tended to work. Just look at this last update: it was in the unexpected moment when unshielded by practice that stands out as the most endearing. Ling Qi's Domain is fine, and I'd rather be around people we like when still learning to flex the new appendage than a guy maybe-courting-us and trying to get his hands on our baby brother's poop.
If you prefer that, cool, but it just seems a much less relevant crowd to follow in the wake of this update.