Bloodsuckers mostly care to go after quiet old panda? (6,3)

'panda?' is the definition.
(informal term for a police vehicle)

'bloodsuckers mostly care to go after quiet old' is the wordplay.
'bloodsuckers' becomes 'lice' (bloodsucking creatures).
'mostly' means to remove the last letter.
'to go after' says to put letters next to each other.
'quiet' becomes 'p' (music symbol for 'piano', ie soft or quiet).
'old' becomes 'o' (common abbreviation eg in OE for Old English).
'care' with its final letter taken off is 'car'.
'lice'+'car'='licecar'
'p'+'o'='po'
'licecar' put after 'po' is 'POLICE CAR'.