The prices will be a little out of date, but just to get you started, most of the hoses are listed here:
All hoses, pipes, etc to redo coolant system including rad
There will be minor differences in a couple of the hoses since your car is earlier than the one in that thread. Still, that will get you close. Let me know if you want current pricing on anything in particular. As far as I know, everything you are likely to need is still available.
I would try a chemical flush before anything else, then see how you feel after the system has been cleaned out. Just follow the directions on whatever you use. It will be very important to rince the system thoroughly after the flush so that you don't end up with nasty chemicals floating around your cooling system. After the flush, drain the nasty stuff out from every port (radiator, engine, and pipes under gas tank). Then fill the system with clean water and run the engine with the heater on until the thermostat opens, let it cool off, and drain from every point again. Following that, you can probably fill it with fresh water and drain from each port without running the engine, then fill with coolant and water and burp as usual.
Obviously, I am a stickler for thorough flushes. The idea of leaving garbage in any system just does not sit well with me.