QGIS offers a PostGIS export module called SPIT. You can access it by choosing DatabaseSpitImport Shapefiles to PostGIS:

SPIT's GUI is very clear and easy to understand. You can import many files at once and you can specify the destination schema and table names. If required you can change the default Spit's geometry name (the_geom) to your liking. SRID also can be changed, but it will be applied to all the imported files. Once you provide all the required information and click on OK, a progress window is displayed and the data is exported to PostGIS.