The link you posted for turbos indicates that that company does not make a turbo kit for your engine. Currently the only Turbo kit that I know of for the 1zz-fe is the Stafford Fabrications one.
The TRD Supercharger is a good mod. The down-side is the price, the upside is you can remain under warranty if you get it installed by a toyota dealership. If you have an automatic transmission, the gains will not be as impressive.
Other Mods available for the 03+ Corolla include Cold Air Intakes from TRD and AEM, a header from KBD, cat-back exhausts and mufflers. Also grounding wires, underdrive pulleys, etc.
Do dome searching around the net to see what other people have done. Check the forums like 2003corolla.org and corolla-racing.com and check out cardomain.com.
good luck