Here's a breakdown:

* Nucleus: This is a membrane-bound organelle that acts as the control center of the cell.

* Chromosomes: Inside the nucleus, the DNA is organized into structures called chromosomes. These are long, linear strands of DNA tightly wound around proteins called histones.

* Nuclear envelope: The nucleus is surrounded by a double membrane called the nuclear envelope. This membrane separates the DNA from the rest of the cell, protecting it and regulating the movement of molecules in and out of the nucleus.

So, to summarize, the DNA in a eukaryotic cell is held within the nucleus, which is a protected environment within the cell.