Mow only when grass is dry to avoid shredding the moist blades. Keep mower blades sharp to cause less damage to the grass. Leave grass clippings on the lawn. The decaying grass will quickly return nutrients and moisture to the soil. Water deeply and consistently once or twice a week.
Mornings are best to discourage nighttime pest activity.
Pluck existing weeds manually. Try a dandelion digger or an angle weeder, two weeding tools available at any garden store or online. Fertilize sparingly every fall with a slow-release organic fertilizer. Apply a thin layer of organic compost over your lawn in mid to late summer. The matter will quickly disappear, leaving nourished and less compacted soil.