Definitely an outdoor job with a good moving air away from yourself. Also note Muriactic Acid will produce some pretty nasty fumes in the present of moisture. Plus once the item is cleaned, the acid must be neutralize using water and the item must be immediately coated in oil to prevent flash rusting.
Fumes are heavy so they will linger if not blown away.
Also very corrosive so if you do it under an awning, expect the awning to rapidly corrode
Ditto for metal cloths lines
The prime gas that comes off is AlCl which is an acid flux
There will also be some hydrogen which likes to find some oxygen & go bang
Usually I would use water to wash then dish washing solution ( alkaline ) the very hot water so when it comes out it will dry very quickly
Spray WD 40 ( or similar ) through the oil holes then the oil , grease ( petrolium jelly works well ) of your choice as per Stars instructions above.
For those who do it regularly , this is all second nature & we forget to give detailed instructions to those who do not
Rust is the oil holes is a big problem
Not sure if your crank has oil holes or is just splash but better safe than sorry.
And we really need to see the bore
If it is trashed then cleaning the crank will only get you $ 5 more as a used crank on craigs list .