Hello,
I know how upsetting it can be to have to leave the place where the memories are. I was desperate not to have to move from where I lived with my mum. I think it can be a good thing though and can sometimes help you start the next phase of your life more cleanly, but it depends on the person, I think. It would have upset me, but others find it a help. Whichever camp you fall into, I think, in the end, the memories are in your heart and mind anyway, so you take them with you wherever you go and no doubt you have things of your mum's that you will keep and have taken with you, so you will still have things she touched and used, which somehow always feels important. Even though they are just things, they still hold a link to her.
As Emz says, it can help to revisit places you visited together. I have found this. It does bring back memories that may not otherwise surface in your mind and remind you of the fun you had together, so it would be worth doing that.
I hope your new home starts to feel more like a home soon and giving a nice picture of mum somewhere prominent in it will help you feel like you have brought her with you. I expect you found somewhere she would have liked. Perhaps you can personalise it a little. For instance, decorating in colours you both liked or putting the chair she used to sit in in a nice comfortable place and, if you have any outside space, planting some plants she liked in her memory. Putting some of her favourite ornaments around.
She will always be in your heart, so you can never really leave her behind. Good luck in your new place, Angel 22. Thinking of you.