We have Green Woodpeckers and Spotted Woodpeckers in our garden at present. Before they are seen they can often be heard tapping away at a tree trunk trying to entice out the bugs. They are also quite happy to dine on the lawn or on rotting logs we have left in the hedgerows.
If you want the bugs in your garden, but don't like the idea of rotting logs, then you can try a bug box. These are easy to hang and look good on a wall or fence. They might also be popular with woodpeckers!