“Always treat a bruise because a bruise can turn to Bad Blood (Blood Stagnation) and Bad Blood can turn to cancer” - Matt Wood
All Blood Movers enter the Liver and/or Heart channels - which makes sense -  the Liver stores the Blood and the Heart pumps the Blood. Many also enter the Spleen channel which also makes sense, according to TCM the Spleen transforms food and drink into Blood and Qi (energy) and then transports it throughout the body.   This is not to say that there aren’t other channels entered by different Blood moving herbs, as an example I included one that also enters the Lung and Large Intestine channels. 
Mo Yao - Myrrh - Commiphora Molmol
- A resin used internally and externally 
- Blood stasis affecting the uterus for uterine tumors, dysmenorrhea, amenorrhea, postpartum abdominal pain, and abdominal masses with pain  
- Pain from trauma, strikes and blows, falls and injuries - used as a liniment in a hit or jow formula massaged into a bruise or sore muscle 
- Increases circulation throughout the body making it is useful for angina & joint pain 
- Promotes healing of chronic sores due to its ability to generate flesh 
- Additionally, an effective disinfectant, anti-inflammatory and astringent commonly used in cases of toothaches, gingivitis, bronchitis, and as a gargle for strep throat and laryngitis 
- Effective for leaky gut, colitis, ileitis, gastritis, and gastric ulcers 
Here is an article on myrrh & frankincense. http://www.itmonline.org/arts/myrrh.htm They are often used in combination for their synergistic strength.  Myrrh is a stronger Blood mover & breaks up Blood stasis whereas frankincense circulates Blood & is better at moving Qi  
Chuan Xiong - Szechuan lovage root - Ligusticum wallichii
- Blood mover in arguably the most popular TCM Blood tonic formula -  Si Wu Tang  
- Invigorates Blood and promotes the movement of Qi for any Blood stasis pattern 
- Chest, flank and rib area pain 
- Important herb in gynecology used for amenorrhea, dysmenorrhea, difficult labor or retained lochia, and menstrual cramps 
- Its acrid flavor disperses both Qi stagnation and Wind in cases of spasms, headaches, dizziness,  Bi syndrome, as well as skin disorders 
Tao Ren - Peach Seed Kernel - Prunus persica
- Toxic in doses of over 30 kernels for adults and 5-10 kernels for children 
- Breaks up Blood stasis and has an affinity for the lower pelvic cavity due to its bitter taste and heavy nature making it useful for menstrual disorders such as endometriosis, amenorrhea, and postpartum abdominal pain 
- Also enters the Lung and Large Intestine channels -with its moistening quality it is effective for constipation, moistening the skin, coughs, wheezing as well as Lung and Intestinal abscesses 
As always before adding in any new herb speak with your Dr. or a qualified herbalist to make sure it is the right herb for you.