You have a couple of options that could accomplish what you are after.
1) Use a gel stain like as on the TV show. This will "hide" some of the wood grain. It depends on how many coats of stain you apply. This technique will darken your present cabinet color. Check out <a href="https://www.house-painting-info.com/restain-cabinets.html">Restain Cabinets for a New Look</a> for more information about this technique.
2) Use tinted varnish or a stain varnish mix like PolyShades by MinWax. This is similar to using a shading lacquer to change the color of cabinets. The PolyShades will be much easier to use when compared to shading lacquer.
Both options will cover up your wood grain look, at least to a point. As more color is applied to the surface the wood grain will disappear. It can reach a point where your cabinets look more painted (solid color) than stained.
You will need to experiment with these techniques before committing to your entire kitchen. I recommend using the back of a cabinet door or go to your local home improvement center and purchase a door that closely matches your current stain color and wood grain.
It's really the application of the new color that will be the most difficult. Try using both a brush, white china bristle, and a disposable sponge applicator. The sponge applicator is an angled piece of dark sponge attached to a wood dowel. These are available in many widths and they are cheap.