Memorizing Qur’aan and Sunnah

I am memorizing some of the Qur’aan, and I hope to memorize all of it, then move on, by the help of Allaah, to memorizing the ahaadeeth of the Messenger (peace and blessings of Allaah be upon him) which are recorded in al-Saheehayn. Is this method good, or should I work on memorizing both at the same time, memorizing some of the Qur’aan and some of the ahaadeeth?

Praise be to Allaah. 
Both methods are sound, so choose the one which is easier for you and which best meets your needs and the needs of the people around you. We ask Allaah to give us and you strength and right guidance.