Just wanted to say thanks for being so conscientious and responsible about your animal's health.![]()
You ask great questions, and everyone learns from hearing these answers. As suggested mild dish soap's not sexy but it's inexpensive and does a good job of cleaning tubs, just rinse really well. I love diluted chlorhexidine gluconate (2%) as my disinfectant afterwards (like others with far more experience than I have suggested) because it smells so good (looking at you, VetOne brand) and properly mixed is a safe but thorough disinfectant.
Like you said, try a small bottle of chlorhex and see what you think. You can always purchase it later, like Bogertophis said, by the gallon which makes it pretty cost effective. Mix up small batches at a time in a spray bottle because once mixed, it loses efficacy after a couple of weeks.
Good lookin' out for your animal!