A quick promo for the show that pretty much tells you everything you'd want to know:
Here's a description of the series, as per Lifetime:
Whitney Houston’s sudden passing left behind a major void felt not only by the world, but also by those who loved her most: her beloved family. Lifetime’s all-new docuseries The Houstons: On Our Own will chronicle those closest to the pop music icon, including her daughter Bobbi Kristina (Krissy); Pat Houston, Whitney’s sister-in-law and manager; Pat’s daughter Rayah; Whitney’s brother Gary; mother, Grammy® Award-winning singer Cissy Houston, and family friend Nick Gordon, as they try and pick up the pieces after her untimely death.
Throughout the 14 episode half-hour series, viewers will see the Houston Family as they come together to deal with the loss of Whitney and focus on Krissy, the 19 year-old daughter of Bobby Brown and Whitney, and the only heir to her mother’s estate. "The Houstons: On Our Own" will follow Pat Houston, Krissy’s aunt, guardian, manager and executor of Whitney’s estate, as she tries her best to keep this large family together as they help Krissy deal with the loss of her mother in a healthy way and grow into a talented and beautiful young woman.
And if you're looking for even more, here's a two-minute "tease" of the season: