Its funny but just last fall I replaced the fluid in my reservoir by doing what foggysail did - suck out what you can run it a while, do the same, etc. Only I just used the auto parts special fluid in my '97 Taurus GL. I didn't know about the tranny fluid tip. Thanks.
Two important lessons here:
1. We often overlook power steering, brake fluid, etc. Don't forget to replace these fluids. If you ever have to open your brake system or power steering system, coolant system take the opportunity to flush as much fluid as you can.
2. Turkey basters aren't just for Thanksgiving.
Seriously though, when my brother worked in a hospital's central supply he grabbed me several large irrigation syringes and some tubing. I can't tell you often those have come in handy. So hit the dollar store on your way home tonight.