Hard to have a nice yard, when neighbors have a Dandelion Nursery!
Even in todays high prices, 2-4-Dweed killer is cheap and effective. You need to spray before seeding out otherwise come back early next year. Buy a hand pump up 2 gal sprayer, mix right ratio and maybe buy it at farm supply store or the burbanite Tractor Supply store.
IF you can't clean the yard of dandelions and all broadleafs, something is bad wrong with you.