I would prefer it if it stopped snowing.

This is a second conditional sentence.

I would prefer you to be on time. (= I want you to be on time.)

I’d prefer to stay at home instead. (= I’d rather stay at home.)
I’d prefer to have gone by tram. (= I’d rather have gone by tram. /  I’d be happier if I had gone by tram.)

Note the difference between the sentence above and this one:

We use this structureThe way in which the parts of a sentence, clause or expression are arranged. E.g.: make somebody + infinitive in "The teacher made me rewrite the composition." when there is a chance that something may happen or somebody (but not the person who wishes) may change their (perhaps annoying) habit or behaviour.

I wish it would stop snowing.
I wish you wouldn’t keep coming to class late.
Jean wishes I would give up smoking.

In the if-clauseA group of related words containing a subject and a verb. of the first conditional we can use should (to express that the condition is less likely), can (permission or ability), will or would (willingness, insistence and refusal), must (obligation) or may (permission).

Would can express insistence/willingness and wouldn't refusal/unwillingness in the past.

I had asked Joe to leave me more space but he would park his car next to mine, so I couldn't get out.
Try as I might, the door wouldn't open.

Couldn't + perfectThe aspect expressing completion. E.g.: He’s finished university. infinitive can also express unwillingness.

Past habit means an actionA general term expressing that somebody or something does something or stateA condition that exists at a particular time. E.g.: I am sick. This melon weighs two kilos. that was habitual or typical in the past, but is probably not any more.

On Sundays my parents would always take me to dance school.
I used to hate dancing in those days.

The auxiliaryA helping verb used with main verbs to express mood, voice and tense. E.g.: I can't stand when I am disturbed. ("can", "am") can is used here to express capability.

Winters in Minnesota can be really cold.

For annoying habits, typical of a person we can use would. This usage sometimes implies criticism and has an emphaticSpecial importance or attention given to something. E.g.: All I wanna do is have some fun. effect:

Normally, the auxiliariesA helping verb used with main verbs to express mood, voice and tense. E.g.: I can't stand when I am disturbed. ("can", "am") of permission, possibility and willingness are used to express requests.

AffirmativeA declarative sentence indicating "yes"; also called a positive sentence. E.g.: John likes squash a lot. forms

Used to and would are both used for past habits. There is, however, a difference between the two. Would describes repeated actionA general term expressing that somebody or something does somethings, but not stateA condition that exists at a particular time. E.g.: I am sick. This melon weighs two kilos. s, while used to can refer to both repeated actions and states.