I dont have small hands either, but they arent large. Hell i was able to remove the bulb, put one back in, connect HID wiring and fit a Balast in there without removing the bottles. Then after thinking about it, i wanted to smack myself in the head for not removing those 3 bolts that hold the bottles lol.
So yeah, take 2 minutes, remove the coolant,washer fluid and power steering and youll have plenty of room.
'08 Black CSRT4
AVIC F90BT / Infinity speakers