lenolate, all three examples are in active voice; i.e., not one is in passive voice.
 I love you. The difference is in the structure: love; have + love:
 I have love for you.
have, to hold or possess, either in a concrete or an abstract sense; to show, use or exhibit in action or words; e.g., have compassion. Love, vb. , is more economical being one word and so more exact in meaning than have + love, which given its structure--love, n. , is secondary, not primary--appears to make the sentiment rather distant and less personal, and perhaps the reason you feel it "takes the blood out".
love, to hold or possess a deep affection for (e.g., someone).
have + love, to hold or possess a deep affection for (e.g., someone).
By the way, what does that idiom mean?