606. Walking with a Cane
84:4 A woman may not go out wearing a covering over her kerchief, nor a man with a covering on his hat to protect it from the rain, since this isn’t considered wearing a garment. If one’s intention is to protect himself from the rain, then it is permitted.
84:5 A person who is weak, elderly or recuperating from an illness may walk with the aid of a cane. (Since he’s not able to walk without it, to him it’s like shoes - Mishnah Brurah 301:63.) However if one can walk without it and he does so in his house, then he may not use it outside. Similarly, a blind person may not carry a cane outside an eiruv (because he can physically walk without the cane; he uses it to guide his steps - MB 301:68). One who doesn't require a cane at all may not even use one within an eiruv (not even a fancy walking stick – MB 301:66) as this is considered disrespectful to Shabbos. (The Kitzur Shulchan Aruch and the Mishnah Brurah prohibit a blind person from using a cane in the public domain on Shabbos. Rav Moshe Feinstein ztz"l permitted it - or, at the very least, he did not object to the practice - based on the fact that what we consider a public domain nowadays does not meet the Biblical dimensions of a public domain. Nevertheless, he suggests that the matter requires further investigation - see Igros Moshe OC 5:19.)