dev1001 is for item stacking, but it is also the only dev tag regarding items out right now. Also, the thread is relevant in terms of 'alleviating item space.'
While your moogle isn't moving your furniture around, I'm pretty sure the locker stays in Al Zahbi as well. Just like Gardening, the moogle just goes and checks on the locker so you can retrieve the items you have there. That's how I understood it, anyway!
I like that furnishings idea! It kind of falls in the "Equipped equipment should not take up inventory space" argument people spout from time to time, but making a space specifically for furniture in your mog house would make a little bit of sense~