I'm new to Chinese dramas and was wondering if you all could recommend some to me. I really liked Eternal Love (10 Miles of Peach Blossoms) and Scarlet Heart if that helps.  

Here are a few historical dramas I enjoy watching:
The Story of Ming Lan 
Battle of Changsha
Sound of the Desert
Bloody Romance
Joy of Life  - not heavily influenced by romance

Similar to Scarlet Heart in the aspect of palace schemes:
Story of Yanxi Palace
Ruyi's Royal Love in the Palace

Dramas similar in theme/genre (wuxia) of Eternal Love that others enjoyed:
Legend of Fu Yao
Ashes of Love
Lost Love in Times
The Flame's Daughter
Love and Destiny - Set in the same universe as TMOPB and has the same director.
Three Lives Three Worlds, The Pillow Book - Spin off from TMOPB for Feng Jiu and Dong Hua, but it hasn't aired.