Love cycling with daughter on capital's bike track (9)
I believe the answer is:
velodrome
'bike track' is the definition.
The definition suggests a singular noun which matches the answer.
'love cycling with daughter on capital's' is the wordplay.
'cycling with' indicates an anagram.
'daughter' becomes 'd' (genealogical abbreviation).
'on' means one lot of letters go next to another (in a down clue, letters appear on others).
'capital' becomes 'rome' (capital of Italy).
'love' anagrammed with 'd' gives 'velod'.
'velod'+'rome'='VELODROME'
Can you help me to learn more?
(Other definitions for velodrome that I've seen before include "Cycling arena" , "Cycle stadium" , "Banked oval track for cycle racing" , "Stadium containing a cycle-racing track" .)