Why kill clover? I understand your antipathy towards dandelions and their flossy heads but one mans weed is anothers flower.
Instead of using chemicals perhaps a more frequent mowing schedule will keep your lawn looking tidier.
Personally i don't like lawns, though i see the benefits in some areas, and if you do insist on a lawn why not sow wildflowers that bring a bit of colour to the garden: or herbs like thyme, camomile and even irish moss that shows delicate white flowers in summer. Mint can add a fragrant note to a lawn too.
Most people love buttercups but i've been plagued by the damn things for years. Their roots are like the claws of a bear and they send out runners like a desperate General. Foragers would've loved the amount of wild garlic in my garden but i swore to get rid of it before it completely took over the garden. It took me two years of persistent digging but i had my victory in the end. The flowers were nice, like white bluebells but the smell was like a frenchmans breath on a bad day. Terrible stuff.