I pull up the clovers and then don't think to use my shovel to dig up dandelions until I've already run stupidly in a circle on top of them to get rid of them.
Since I got a four-leaf clover pretty quickly in the game I've been letting the clover collect in my town. I think it adds a bit of interest to the town. ~ especially since I don't use patterned pathways.
Dandelions I just let come and go, the one time I thought to collect them in 1 place half of them spontaneously disappeared so I cba with fighting them.
Mushrooms on the other hand I care immensly for. I've made a little mushroom and bamboo garden in my town and now that's full any muchrooms I get will be placed throughout town around trees. I like to keep things looking natural.
i like blowing dandelions and collecting lucky clovers, but i don't like they way they look on the grass, so i always pull them up. but i don't use the shovel on them.