While not the norm (and maybe no longer even tolerated) if one stays in long enough to reach senior rank, you maybe be able to take your pet to work. During my time in the service I was in a few units where the CO or DCO (and once the RSM) routinely brought their animals to work.
One CO (on a UN tour) had one of the two "officially permitted" cats - it had the run of the HSU, was universally despised (cat and CO) by the medical unit pers but luckily survived all conspiracies (against the cat not the CO) to hasten its demise.
In another unit the DCO's dog was always in the unit lines (often when the DCO wasn't); it occasionally accompanied the unit on exercise, and once was briefly with the unit when it deployed on an operational tasking. The dog, "Digger", was "unofficially" adopted as the unit mascot and was even "on parade" for the unit closure ceremony. On a personal note, while I tolerated Digger (who was an amusing little mongrel), I drew the line at the combination of him and his master, the DCO (a less amusing but still friendly mongrel). During deployment to Ramstein during Desert Storm, the DCO (who hadn't deployed with the main body) showed up one night with Digger and was to share my accommodations. I objected as the DCO snored worse than me and so told him that I could only put up with one of them. A few minutes later he returned without the dog, saying that he had put it in the CO's bed and Digger should be comfortable there for a few days until the CO returned. After trying to sleep through the DCO's night-time noises, I think I would have preferred to share the room with the dog.