I am a disorganized person so I tend to either have a super organized environment or a super cluttered environment. I can't deal with the in-between. Living with other people can be a challenge for keeping a place organized.
Having tasks for each day of the week is helpful. I would have a list of "deep cleaning" things and choose one from that list each week to accomplish. If you have as less clutter as possible in your living space that is a huge help in my opinion. I also find that a bucket and rag is quick and easy for most tasks. I often use vinegar, pine sol like stuff, dish soap, and bleach as cleaning agents. Vinegar may bother some people but the smell doesn't stay in the house long. It is a safe and natural disinfectant. Especially if you worry about your pets or whatever.
A tip for shower floors with a smooth dimply bottom is to use a long handle brush that you can use standing up with your cleaning agent of choice and small grain Epsom Salt for light friction. I won't clog your drains or scratch your floor. I usually use Dish Soap with the epsom salt with scrubbing, then after rinsing use vinegar with scrubbing for any left over calcium and it's a nice disinfectant and mildew repellent.
As for the stainless steel smudges, this is what we used at my work with a dry soft cloth before I lost my job due to the pandemic. It works pretty well and I am sure you can find something similar in a store. Windex can also work if the smudge isn't heavy or wasn't there long but this polish stuff below helps prevent rust. Just use very very very little of it or it will be greasy.
edit, a dust mop to go over the floors between the times you use a wet mop helps keep the floor cleaner and mop water not as dirty. Dust sticks to floors. That way you are less likely to have to clean a floor on your hands and knees for it to be actually clean.