Smother the weeds if your soil is like mine; sometimes "pulling" is not an option when all that does is break the b**g things off at ground level. Of course, you _could_ water the area for 30 minutes; maybe pulling would work then.
Smother the weeds with mulch. Several layers of wet newspaper topped with your flavor of organic mulch material will deny the weeds sunlight.
There is a pre-emergent weedicide (?!) made from, of all things, corn. I have not used it, but the areas under my bird feeders that receive regular doses of the cracked corn form of corn are completely bare. Maybe it's the corn, maybe it's the birds scratching about, maybe it's a combination.. dunno.
BTW, if you are considering a Ruth Stout approach to weed control, be aware it may take you literally tons of material to smother those weeds.
Good luck!