1. Quran itself is a cure from every illness (Cure and Mercy for the believers)(Al-Israa: 82).
Reciting Quran is a very useful way to healing especially when you try to understand what you recite and keep your heart with its meanings like a person who is listening to Allah (SWT).
Reciting Quran with clear voice when ever you can with out disturbing others, might be more helpful as your heart and ears and eyes and mind join the great taste of listening to the Word f Allah.
You can recite any Chapter or Verse from Quran but there is great benefits mentioned from reciting Ayatul Kursi (Sura Al-Baqara: 255), Sura Al-Hamd, Sura Al-Tawhed, Sura Al-Qadr, Sura Yaseen, Sura Tabaarak, Sura Al- Inshiraah and other Suras.
You can recite the Sura or Verse that your heart feels more effected by it in your specific situation.
2. Remembering Allah ذكر الله is very useful in getting peace of mind as Allah says (Surely, by remembering Allah, hearts get peace and comfort) ألا بذكر الله تطمئن القلوب ((13:28).
Repeating glorifying Allah, Subhaanallah, Thenking Allah, Alhamdulillah, seeking forgiveness, Astaghfirullah and other forms of remembering Allah is very useful.
3. The best recitation iS salutations on the Prophet and his Holy Progeny (ALLAHUMMA SALLI ALA MUHAMMAD WA AALI MUHAMMAD). We have authentic Hadeeths that reciting Salawaat grants the heart peace and tranquility and elevates our spirituality and makes us get the blessings from Allah and the supplications of the angles.