Short answer: we don't know. We do know from appendix A that Aragorn restores the city of Annuminas after the war:

... when he [Aragorn] comes north to his house in Annuminas restored and stays for a while by Lake Evendim, then everyone in the Shire is glad.

In Homeward Bound, Gandalf hints that Aragorn also intends to restore Fornost.

And the King will come there one day; and then you'll have some fine folk riding through.

Now some Dunedain must already have been living at least partially settled lives; maintaining the blood line for sixteen generations would require a safe place for children to grow up. In particular, in the Tale of Aragorn and Arwen (Appendix A), Aragorn's mother Gilraen leaves Rivendell and returns

to her own people in Eriador.

(Aragorn being fostered in Rivendell was a special case; his father died young and Sauron was looking for him.)

In conclusion it's likely that the Dunedain returned to their ancestral homes when these were restored. For any that didn't fancy city life, there were still the orcs of the Misty Mountains to deal with, plus wolves, trolls and probably assorted other nasties that we know nothing about.

Short answer: we don't know. We do know from appendix A that Aragorn restores the city of Annuminas after the war:

... when he [Aragorn] comes north to his house in Annuminas restored and stays for a while by Lake Evendim, then everyone in the Shire is glad.

In Homeward Bound, Gandalf hints that Aragorn also intends to restore Fornost.

And the King will come there one day; and then you'll have some fine folk riding through.

Now some Dunedain must already have been living at least partially settled lives; maintaining the blood line for sixteen generations would require a safe place for children to grow up. The Chieftains of the Dunedain were fostered in Rivendell, but there is no evidence to suggest that other rangers grew up there. Moreover, in the Tale of Aragorn and Arwen (Appendix A), Aragorn's mother Gilraen leaves Rivendell and returns

to her own people in Eriador.

In conclusion it's likely that the Dunedain returned to their ancestral homes when these were restored. For any that didn't fancy city life, there were still the orcs of the Misty Mountains to deal with, plus wolves, trolls and probably assorted other nasties that we know nothing about.