Hi Ingrid,I think what you are after is known in ArcMap as symbol level drawing - http://help.arcgis.com/en/arcgisdesktop/10.0/help/index.html#/What_is_symbol_level_drawing/00s500000...
Unfortunately this is not supported with ArcPad, and using shapefiles would be tricky, to recreate it. The only way I could see doing it with shps would be to create a seperate shapefile for each attribute that you are mapping and have them in order in your TOC. You could perhaps do it with AXF layers using definition queries and lots of duplicate layers.If anyone else has a solution to this I think they get extra points.Cheers,Gareth