And the Korin Special Inox (a different steel than Suisin Inox) with a very cool orange handle on a very good knife. I will own one one day if for no other reason than that handle.
A couple of other notes about your response. Knives are measured by blade length, not overall length. A 10" blade, roughly a 270mm, is a long blade. 12" or 305mm would be untenable for most users. The knives I linked are all 240mm as it is probably the most commonly used length but they are all available in 270mm versions. And real knives are measured in mm, sometimes cm.
The utility knife you're looking for is probably a "Petty". A 150mm will pair well with a 240mm Gyuto. The same sites as posted above will have many to choose from.
You desire a "deeper" belly? The Myobi's I've seen had a pretty rounded belly - more German than Japanese. Most knife enthusiasts here will prefer a flatter belly. Rocking is not a good thing.
Can't overemphasize the importance of being able to sharpen and maintain the knife. Any of the above will come with an edge that will be unlike any knife you've ever used. But you gotta keep it that way. You probably won't be perfect but you don't need to be. If your budget is fixed suggest you spend on the Gyuto and waterstones and pick up the Petty later.
Good luck in your search.