Daughter of the Wolf : Check in with Solitude's survivors after the Harrowstorm.

Greymoor Rising : Prevent a Harrowstorm from being unleashed on Solitude.

The Gray Host : Create a defense against the Harrowstorms and learn the Gray Host's plans.

The Vampire Scholar : Find Fennorian in Blackreach and bring him back.

Danger in the Holds : Work with Svana to warn the Holds of Western Skyrim of a coming threat.

Dark Clouds Over Solitude : In light of a tragedy, hunt down the creature responsible.

The Gathering Storm : Investigate a threat to Solitude and its king.

(disabled since Update 30) (only available to new characters created for the Greymoor chapter)

Bound in Blood : Escape captivity at the hands of the Icereach Coven.

Greymoor Storyline - Quests to stop an evil deep beneath Western Skyrim.

The Coven Conundrum: Investigate the Icereach Coven further.

The Coven Conspiracy: Investigate a lead on the Icereach Coven for the Skald-King.

The Frozen Isle : Brave the island of Icereach and look for survivors.

Unhallowed Grave : Help the last Pyre Watch Sentinel and a vampire investigator in the Unhallowed Grave.

Harrowstorm Storyline - Quests involving a dark benefactor.

However, they do follow a chronological order as listed here. Due to the multiple content releases involved in the Dark Heart of Skyrim, there are no prerequisites for completing these quests and they can be done in any order.

Skyrim dlc in order