If you want your sister in your life, how about a simple:
[Some sort of Christmas/holiday greeting] followed by
"I am here if and when you would like my friendship".

It is a neutral olive branch not assigning blame on her, or putting it on yourself.

However, as Divine stated don't move in with her. You will get the boot sooner or later. If you wanted to move to be close to family, have your own independent place.