we have moved a lot(!).
andrew has moved at 8 months, 18 months, 2 years, 2.5 years, 2.75 years....and each time has been pretty good.
caroline moved at 3 months, 9 months, 15 months......and she too always did good.
the worst my son has ever done is be wary of the room. needed more light for one move....none the next(shadows bothered him then), then brighter light the next......each time was different, but if possible see the house/room they will sleep in before it happens....try to set up the room the same as they had it...then move it after a few weeks to the way you want. this helps tons. then they aren't so freaked out about a new room....b/c the layout is the same in the room. it's the little things that matter at such a young age.
yes, they may wake up, but once they realize you still come when they cry they settle quickly. don't mention the word scared. admit it's different but new and wonderful and how great they will sleep! be positive and they will do well. dont worry....they pick up on it!
having moved so much you may think my kids are used to it. nope. it is never easy on them....but you can prevent the stress by just being positive and trying to keep routines the same.....once settled then you can move furniture or change routines if needed.
good luck with your move