Keep out of heat and indoors. Store or display, avoiding extreme temperatures.
Don't wrap the painting in tissue, paper, or plastic, or it might stick to the acrylics & ruin it. Use cloth sheet, pillow case, or freezer paper to store, wrap or ship the painting.
Keep in mind the nature of acrylic paint, especially the sculpted 3-D paint, that tends to stick to itself. Heat makes it stick worse, or anything that would come in contact with the paint. Even when dry, it has a sticky nature. Keep any kind of plastic away from the paint.
Dust with soft brush or feather duster without any chemical contaminants on it. The one here has much bendable spring to it, unsuitable for painting, but good for dusting. A moist cloth from water can also take of any remaining dust and bring back shine.
Don't rest edges of painting with paint on it, on anything when moving, or the paint could become damaged (like not standing it on the floor on one end). Better to hold it flat, plan a spot to move the painting to, then move it right there without resting the painting on the floor.
If the painting must be moved without a human holding it at all times, or held by hanging on a wall, then wrap the painting in a bed sheet and lie it flat. Keep other objects from falling on it.
Do not lean the painting against another canvas board or any kind of paper. Many times the paper on the canvas board backing has stuck to the paint, ruining it, unable to get off.
If you must ship the artwork, pad with non-stick butcher paper and place so no end stands on itself during shipping... in other words, protect all areas and edges with non-stick padding.
If you receive the painting in the special shipping box that came with it, it might be a good idea to save the box & wrapping for moving it later. We never know when we might have to relocate or transport the painting for viewing or whatever reason.
If you want to minimize dusting, you could frame it in a shadowbox with glass, or non-glare glass.
A floater frame would help protect the painting edges that are often painted, as long as no part of the painting edges are touched by the frame. A floater frame would enable the painting back to be adhered to the frame where it can't move, with the frame edges surrounding the artwork with space inbetween, thus making the frame come in contact with anything that could bump into it, rather than the artwork be bumped into.