Never played small or large maps against the AI. Large takes too long, in small I suppose you have to put up military labs, and build fleets&defenses so you can fight back. I played bigger small maps and smaller mediums, and easy & medium AI were easy to beat.
Load up on clues and tips on how to play. If you really lose to a single easy AI you are doing something horribly wrong.
Remember the Pause feature - confusingly mapped to the Pause key! Use this to buy all the thinking time you ever need when eg. deciding what to research next.