My skin is getting rough. What are some good body products?

Lately, my skin has been feeling rough and dry all over, so I am very worried.

My skin feels very tight even after showering, and my arms and legs, in particular, feel rough to the touch rather than soft, as if dead skin cells are peeling. I have been applying moisturizer consistently, but the effects don't seem to last as long as I expected, so I am wondering if I need a different approach.

I'm not sure if frequently using body scrubs or exfoliating helps, or if it actually makes my skin drier.

I am also wondering what criteria to use when choosing body lotion or oil.

I would also like to know if there are any areas I can improve in my daily habits or showering method.