If you're building a horizontal Menu like this random page Blizzard, you can do the same.
Force your prominent items to stand on the left hand side next to the logo with bigger and bolder font, and the default items on the right hand side with default font.
I would suggest to use just one menu for this purpose. That's better from an accessibility point of view and makes it easier to morph into a mobile menu. (Or even better, if you think mobile first, the opposite way)
Maybe you'll use WordPress, than you can very easy add classes to your menu items via the customizer.