I can't figure out how to get my presets back onto the new pedal.

Well, Space works with our software application, H9 Control.  The easiest way to get your presets back on your Space would be to open H9 Control and drag and drop the syx file onto it.  H9 Control will then import the presets.  If you go to the Preset List screen by pressing the Preset Lists button in the bottom menubar, you should see your imported preset list there, and you can use the 'Save to Pedal' button to copy the list onto your Space.