Remove leaves to keep your grass from being smothered. Shred them to use for mulch or add them (no shredding necessary) to your compost pile. For efficient composting add some nitrogen fertilizer, about ¼–½ cup per bushel of leaves.
Feed established cool-season lawns at Thanksgiving (grass should be green but not growing). If you don’t test your soil, apply a complete NPK turf-grade fertilizer (12-4-8 or 16-4-8), using 1 pound of actual nitrogen per 1000 square feet.
Control winter annual broadleaf weeds. To help you to do so responsibly, the City of Austin and the Texas Extension have collaboratively evaluated garden chemicals for their toxicity (people, pets, wildlife & pollinators, aquatic), soil mobility (groundwater hazard), and environmental persistence. You will find many weed products in their Toxicity of lawn chemicals.