To Blackpool Town Centre, Stage Coach Line 61, from the Peel Hill stop. The service runs roughly every 30 minutes from Monday to Saturday and every hour on a Sunday. The Peel Hill stop is roughly a 15 minute walk away. Click here for a link to the Stagecoach website for the Line 61 with Live info and the full timetable.
There are no nearby bus routes for St Annes or Lytham.
The closest is Tesco Extra on Clifton Road, click here for a link to the Tesco website store locator.