Find the best flight for my dates and constraints

Find me a flight from [origin] to [destination], departing [departure date] and returning [return date]. My constraints: [constraints, e.g. nonstop only, depart after 9am, one checked bag included]. Search Google Flights first, then cross-check the top options on Kayak and on the airline's own site so the prices reflect what I'd actually pay with bags. Give me a ranked shortlist of the 3-5 best options as a table: airline, departure and arrival times, duration, stops, and total price including bags. Flag the best-value pick and the most comfortable pick, and note if shifting my dates by one day saves real money. Include a direct booking link for every option. Don't book anything — stop before any payment step and wait for my go-ahead.