Remove the screws in the wheel wells and underneath the plastic cover to remove the bumper cover. Then you can see to remove the actual bumper.
Behind the front bumper
Transmission cooler is in front of the a/c condenser behind the front bumper. It is the smallest radiator looking component behind the front bumper
throw a hand grenade at it
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its located behind the plastic "wall" that is between the right bumper and the right front wheel. if you remove the screws you will find the pump and the base of the windshield wiper fluid container.
The Washer pump is on the bottom of the reservoir - but you have to remove the front bumper to access it, so be sure it it sht pump and not the switch. Yes I said you have to remove the front bumper to access it. You can go to the very helpful Hyundai web site http://www.hmaservice.com create a login and see schematics. It's a little tricky, but with trial and error you can see just about everything.
The 2005 Hyundai Santa-FE has 54.3 in. of front hip room.
The 2012 Hyundai Santa-FE has 59.5 in. of front shoulder room.
The 2003 Hyundai Santa-FE has 39.6 in. of front head room.
The 2003 Hyundai Santa-FE has 56.3 in. of front shoulder room.