How to select and move shapes(Line,Curve) in PictureBox?

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C#

List<Point> points = new List<Point>();
private void pictureBox1_MouseDown(object sender, MouseEventArgs e)
{
            if (e.Button == MouseButtons.Left)
            {
                points.Add(e.Location);
                pictureBox1.Invalidate();
               
            }
}

private void pictureBox1_Paint(object sender, PaintEventArgs e)
{
             if (points.Count > 1)
                e.Graphics.DrawLines(Pens.Magenta, points.ToArray());
}

I have been drawing lines, curves, ...I have the button: btnDrawLine, btnDrawCurve
Each button press will call a function to draw.When you press the button, an item be added to the listbox.
For example:click btnDrawLine-> "combobox" add Line.
The user can move the line or curve by selecting the name in the listbox.
How do I do this?
thank.I will put an object (line, Curve) into a PictureBox.
How to a PictureBox always display when other PictureBox override it?