The black housings are available for more than just one contact, as one row or two row version. The contacts are crimped to the wires , which means you either have a crimp tool or somehow solder it. Ideally, you can use your cable, remove contacts from the housing, and just push them into the bigger housing.
Edit (by Milliways) To add to the answer I have a selection of housings I purchased on eBay. I use these with a crimping tool (their original purpose) or on existing jumper cables.