Casey Anthony is eager to document her life on a new reality series more than a decade after being acquitted of murder charges in the death of her 2-year-old daughter, Caylee, a new report claimed. If greenlit, cameras would follow her every move as Casey navigated her day-to-day in each episode showing her “working, socializing, and dating,” RadarOnline.com has learned. “She will share her thoughts and opinions, and will give an intimate look into her world,” a TV proposal submitted on her behalf claimed, according to the New York Post. Casey would not only be the focus of the show, but she w…