Trying to figure out the tranny

Journey continues on this new car of mine...i was under the car for the first time yesterday and got some work to do to get it up to standard...i found these 2 lines all bent up weird going from the tranny to the front so assuming they are to the trans cooler built into the radiator...darn they look terrible and i bet they clank all the time metal to metal...so going to install an aftermarket trans cooler and run new rubber lines so i can tie up and route pretty...also i have no idea what is stabbed in this car...where am i looking on it to get the info to decipher what it is...here is a pic of the pan in case that helps.

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Those lines are pretty goofy. Who knows what they came off of, could be original, but originally they weren't bent like that. Use metal lines. Rubber isn't all that good. Those headers are going to make it tricky. Just sayin'