Within easy reach of new arena — close to district hospital, also (4,2,4)

'within easy reach' is the definition.
(something near at hand is easy to get to)

'new arena close to district hospital also' is the wordplay.
'new' indicates anagramming the letters.
'close to' suggests the final letters (the 'close' to the word).
'hospital' becomes 'h' (abbreviation for hospital on maps).
'also' becomes 'and' (I've seen this before).
The last letter of 'district' is 't'.
'arena' with letters rearranged gives 'neara'.
'neara'+'t'+'h'+'and'='NEAR AT HAND'

'of' is the link.