As for the birds; if there have been a few bumps around the nose or whizzing past the windows, then simply check all the engine, config and aircon parameters, if normal, continue the flight.
If the gear won't come up or the config warning sounds with the gear up or the smell in the cabin is like grossly overcooked BBQ'd chicken or the oil or fuel temp. is climbing steadily, then it's a no brainer, as our colonial friends say. Land at the nearest suitable airport.