Hitch from eastern parts of city to Park Avenue (4)
I believe the answer is:
yoke
'hitch' is the definition.
(thesaurus)
I don't understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for yoke that I've seen before include "Cross-piece attaching two animals" , "Coupling" , "Old harness or oppression" , "Burdensome restraint or oppression" , "It joins two working animals together" .)