They're really completely different. "Used to" is a phrasal verb that can mean either "in the past," or "become accustomed to." Examples:
I used to live in Kiev.
I'm not used to driving on the left side of the road in England.
Note the grammar differences: to indicate that something was typical in the past, we use the present simple form of the verb; whereas to indicate that we are/are not accustomed to something, we use the gerund form of the verb.
"Would" has many meanings and grammatical uses, including as a form in conditionals, as a modal, as the past tense of "will," etc. If you have a specific example, it would be easier to understand why you're confusing the two.