Appointed once, then free to sell
What makes New Mexico different: as a Uniform Probate Code state, once the personal representative has been appointed by the Probate Court, the PR has the authority to convey or sell the decedent's real estate, working with a realtor or title company and signing a deed at closing — no separate court order for an ordinary sale.
Self-dealing is a different question entirely
A sale affected by a substantial conflict between the personal representative's fiduciary and personal interests is voidable by any interested person — unless the will or the decedent's own contract expressly authorized it, or the district court approved the transaction after notice.
No fixed percentage for compensation
New Mexico personal representatives are entitled to reasonable compensation, with no statutory percentage schedule — the amount depends on the estate's actual complexity and the work performed.
No state estate or inheritance tax
New Mexico imposes neither. See Capital Gains Tax on the Sale for New Mexico's own deduction on the gain, plus a notable community-property basis benefit.