What gnoahhh said. Multi-line tools are primarily for laying out the pattern. Single cutters to bring to full depth, easier to control. Then a bent needle file or similar tool to refine and point up the diamonds.
If it's your first try GO SLOWLY and take lots of breaks. An easy mistake when re-cutting is to dig out too much wood in the center giving the checkering a "wallowed out" appearance.
Thread gauges from your auto parts store if nowhere else work well for measuring lines per inch or lines per millimeter - cheap.
Oh yeah, the needle file is a good tool to straighten out a line if the cutter hits a funky spot in the wood and runs out sideways.