Would you consider doing a flush? It is pretty easy and quick and you get all the old fluid out in one go.
As for the fluid, It should say in your owners manual if you still have it exactly what fluid to use. My 2005 lexus states Dex II and III as well. I have heard the Toyota mechanic say to use regular power steering fluid instead because the Trans fluid does not have the same additives, but then hear from owners that put PS fluid in the toyota end up replacing their PS systems a couple times.
To flush, it is very simple.
Jack the front of the car up, You only need it up to where the front tires are not touching the ground, just an inch or so.
You will need maybe 5 or 6 feet of clear tubing
You detach the little hose off of the PS res, the return hose, this brings fluid from the PS system to the res, you then plug the hole in the Res with something so it will not leak, I use a 2 inch piece of the clear tubing, slide it over the nipple on the res and bend the end over and zip tie it down to create a plug. Now attach your clear tubing to the return hose you pulled off the res. You may need some kind of device such as
this to attach the two hoses together. Now run the other end of the clear tube down into some kind of container to drain into.
Once you are all set up. (make sure your parking brake is set before you jack up the front end). use your turkey baster to pull out the old fluid from the res then refill almost to the top with fresh fluid. watch the hose and your res (hose to see the color of the fluid and res to make sure it does not get too low), Turn your key to unlock your steering (do not start car) and turn your steering wheel all the way left, then right a couple times, then top off the res and repeat until you see the fluid going into the clear tube become clear and pink like the new fluid, you can give a couple more turns to make sure and that is it. Turn the car off, let it back down, replace your return hose and adjust the fluid level in the res. Your system is completely flushed.
Here is a video, This guys way is even easier, he does not add any clear tubing, just pulls off the return hose and places the end in a bottle to collect the fluid. This is a very simple job, and probably faster than and for sure more effective than the turkey baster meathod.
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