if it is permanently planted in the ground I'd leave it until spring as the roots may not survive the move with any frosts/snow etc we may get this winter. Then come spring it will be ok. if in pots make sure they don't get too much winter cold or they will rot off and die.

I would suggest you look at -www.sfgate.com/dig-up-agapanthus - this will give you all the information you need about the correct way to do it -- Ken

Thanx Seaburn girl. Will follow your advice.I'm going to protect the plant with straw & move it in Spring. Ken, tried the lin u suggested but couldnt access it but thanx anyway.