I have gone to making my own laundry soaps because of allergies and I can tolerate my homemade detergent the best! Then there is windex! It cleans just about everything. Just have to watch for the streaks. You may end up with a lighter spot here or there, That just tells you where you have to clean deeper. I love spic and span for most everything else and Ajax for scoring power. I have used the Ajax and spic and span powders for more than 60 years and they really do make things the best. The magic erasers are nice for spot cleaning. On carpeting (I have white carpets I use peroxide. The carpet is close to 30 years old and looks close to new!
Best of luck you have so many choices. Try some to get the stains off the tub. For deep rust stains there is a cleanser called Zud that can work wonders too.