Laced bundles are not suitable when significant movement will occur. It is a pretty ideal when making up harnesses on an armature (framework of bars and tie points to support the bundles) or making up formed harnesses on a board prior to installation, but movement is restricted (that is the point of lacing) and much movement will chafe the wire insulation, break the lacing, or break the wires.
Spiral wrap is the easiest, woven loom does a really good job if the ends are properly whipped and the bundle it properly laid, drag chain is more expensive and more difficult, but provides better structure and control ofver the motion of the wires.
One method, if structural support and control of the motion isn’t needed, is braiding the individual wires together (loosely). This tends to distribute the movement and tension throughout the entire bundle and gives a low risk of one wire being twisted or pulled excessively. If the bundle has different sizes of wire and/or different cable types, it is more challenging. Spiral over the braided bundle provides a bit more control.