There is only one priesthood, "after the order of my only Begotten Son." (T&C 141:41). Conceptualizing priesthood in degrees is done for the purpose of considering role, influence, and progression. Personal affiliation with the Powers of Heaven determines degree of priesthood.
Priesthood. T&C Glossary: Priesthood, Powers of Heaven.
Aaronic Priesthood. T&C Glossary: Aaronic Priesthood
No man taketh this honor unto himself. Hebrews 1:12 (Hebrews 5:4)
The Lord shall purify the sons of Levi. Malachi 1:6 (Malachi 3:3)
Aaronic priesthood holds keys of ministering angels T&C 82:14 (D&C 84:26)
Oath and Covenant of the priesthood. T&C 82:17 (D&C 84:35-42)
Perfection does not come by Levitical Priesthood. Heb. 1:19 (Heb. 7:11)
Many are called. Few are chosen. TC Reference T&C 139:5 (D&C 121:34)
Hearts are set on world. Aspire to honors of me. T&C 139:5 (D&C 121:35)
Unrighteous dominion = Amen to priesthood. T&C 139:5 (D&C 121:37) Priestcraft. T&C Glossary: Priestcraft, Powers of Heaven.
Keys. T&C Glossary: Keys, Priesthood, Power in the.
Fullness of Priesthood lost to church. T&C 141:10 (D&C 124:28)
Faithful obtain priesthood to magnify calling. T&C 82:16 (D&C 84:33)
If virtuous, priesthood distills upon your soul T&C 139:6 (D&C 121:45)
Those called to bring Zion hold priesthood power. T&C 129:4 (D&C 113:7-8)