Getting rid of dummy tips?

My baby is 13 months old and I'm thinking it's time to get rid of the dummy, she only has it to sleep literally no other time of the day only at naps times and bed time. She doesn't wake in the night for it we have no problems with it I'm just struggling to know when the right time is as don't want to do it when she's older as she will be more aware and kick up more of a fuss. My only 2 issues are is that 1) we are moving her to a new bedroom within the next month or 2 as we have another baby on the way so she's getting her current room. So do I remove it when she's settled in her new room or before? I would like to have her off it before the baby is here (due 28th june) as the baby will probably have a dummy so want her to be over it and not bothered by her sister having a dummy? My fiance thinks we should get rid like right now but I'm thinking after she's in her new room as it might take a couple to nights for her to get used to it so may need that comfort of things being the same? Any advice greatly appreciated and your experiences of removing dummies?