hinziehen
to move there
To move one's place of residence to a new location; to move to a specific place. This is a separable verb.
Nächstes Jahr wollen wir in die Nähe meiner Eltern hinziehen.
Next year we want to move there, near my parents.

to move there / drag on / attract
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to move there
To move one's place of residence to a new location; to move to a specific place. This is a separable verb.
Nächstes Jahr wollen wir in die Nähe meiner Eltern hinziehen.
Next year we want to move there, near my parents.

'Hinziehen' is a separable verb. The prefix 'hin' comes at the end in a main clause. In subordinate clauses and in the infinitive with 'zu', the verb stays together.
Meine Schwester zieht nächsten Monat nach Hamburg hin.
My sister is moving to Hamburg next month.
The verb consists of the directional particle 'hin' and the verb 'ziehen' (to pull/move). 'Hin' expresses movement toward a place, while 'ziehen' here means 'umziehen' (to move house).
Wo wollt ihr denn genau hinziehen?
Where exactly do you want to move to?
In the meaning 'umziehen' (to move house), the destination is often indicated with the prepositions 'nach' (for cities/countries without an article), 'in' (for places with an article or buildings), or 'zu' (for people).
Sie sind letztes Jahr in die Schweiz hingezogen.
They moved to Switzerland last year.
In the meaning 'lange dauern' (to take a long time), the verb is always reflexive: 'sich hinziehen' (to drag on). The subject is always an event, a process, or a period of time, not a person.
Der Bau der neuen Brücke zieht sich schon seit Jahren hin.
The construction of the new bridge has been dragging on for years.
In the meaning 'anlocken' (to attract/lure), there is always a subject that exerts the attraction and an accusative object that is attracted. The structure is: Etwas zieht jemanden/etwas hin.
Das gute Wetter zieht viele Touristen an die Küste hin.
The good weather attracts many tourists to the coast.
to pull / move
'ziehen' and 'hinziehen' can both have to do with moving to a new place or with something lasting a long time. When talking about where someone lives, 'ziehen' can mean that someone moves to another apartment, city, or country. 'hinziehen' puts more emphasis on the destination: someone moves to a specific place. In the reflexive form, there is another similar use: 'sich ziehen' and 'sich hinziehen' mean that something takes a long time. 'sich hinziehen' often sounds as if it is taking longer than expected. The words are easy to confuse because 'hinziehen' is formed from 'ziehen', but it is often more precise or more specific.

Die Besprechung zieht sich wegen vieler Fragen bis zum Abend hin.
The meeting drags on until the evening because of all the questions.
Nächsten Monat ziehen wir in eine größere Wohnung.
Next month we're moving into a bigger apartment.