Use "it" when there is no definite thing you are appreciating. I'd appreciate it if you would help me. Use "that" when it is clear what you are appreciating, and you want to emphasize it.
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mihocomoWould you like it fix for you?Would you like me to fix it for you? (The speaker will fix it.)
mihocomoYes, Please. I appreciate it.Since your appreciation will come in the future (after they fix it), you need "would."