At the moment I'm trying to give areas some time off, even if that's just a few days for the grass to get growing again, before they're ever really cleaned out - unless it's an area I want them to clear, like veg beds. One of the community beds was sown with green manure that's about done it's job now, so I'll be putting either the no-longer-teens or the in-betweens (Sussex & maybe the Norfolk Grey) out there in a small tractor type run for a few hours tomorrow morning. There's a few other spots they'll be put on to work soon and I'm constantly bringing stuff in to get kicked about and compost down on the run floors, so that also helps keep them supplied with plenty of greens, grass and other seeds and any insects that were either brought in on plants or attracted to the compost.
When I'm clearing new or very overgrown beds I can also lift big slabs of turf and bring those into the run for them to enjoy - with a minute or two's ground prep first, they usually last a good few days and some have even established well enough to still be growing back months later whenever they aren't being too heavily grazed or buried in leaf litter.
Come the winter, I might think about filling a few fish boxes with weed-seedy compost and letting that grow until I can swap them in & out as forage trays.