What is more common to use, aseo or limpieza. Also in the verbs asear or limpiar which is better or more commonly used? Thanks. Limpiar is what I learned first, but I just recently learned the word aseo. Thank you.

both are common and widely used.
Usually asear is for self care (baño, ducha) and limpiar it's more for cleaning.
Give me a sentence and I will give you the best match.
Hope that helps.:D