Congratulations on getting a bigger place. Since you've got some extra time you should be able to make the transition relatively painless for your kitty. (What is her name?)
If you can, set up a "safe" room for her with her food, water, litter box, toys, bed, cat tree, etc. You don't have to have a separate kitty room just for her. It can even be your bedroom if that's where she's used to sleeping. She'll want familiar smells around, so don't go overboard on cleaning. Don't wash her blankets, and maybe even keep some dirty clothes around.
Put a familiar blanket in her carrier when you take her to the vet. If you don't have one small enough to fit, something like a shirt or pair of socks that you've worn will work as well.
When you get her to your new home, put the carrier in her safe room and take the door off. Let her come out to explore on her own. Don't try to introduce her to the house. She'll figure it out on her own soon enough.
When are you moving? Lots of good luck
that it goes smoothly.