Caitlyn Jenner, the former Bruce Jenner, says she is ecstatic about the first public photos of her.

Vanity Fair, for which Annie Leibovitz shot the July cover story's picture, "spared nothing doing it right, and the wardrobe, everything involved with it . . . [and] the people were just great," Jenner, 65, told the magazine in an online Q&A. Calling the photo shoot "two of the best days of my life," the 1976 Olympics gold medalist said, "The pictures came out over-the-top great. . . . I was always worried -- you never wanted to look like a guy in drag, you never wanted to look like a guy in a dress, OK. If you're going to do that, come out, you really have to look the part. You have to look very feminine. . . . What I call my presentation is extremely important because it puts people at ease."

She said that during the shoot, "I had this rocking black outfit on, formal outfit, and I . . . looked in the mirror and I felt, 'Oh, my God.' That's the first time I'd ever really seen an image of me, of who I am. I mean over-the-top better than I thought it would ever be, especially at my age. You know, you think it's kind of over with at that age. And seeing that image was powerful to me, you know, powerful. And I kind of looked at it and said, 'You know what, this is going to work, we're going to be OK with this. . . . I am so excited about the future."

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In a separate, online story, Jenner described choosing her new name. To get ideas, she told Vanity Fair, she watched the Miss America pageant and gravitated toward the names Heather and Cathy. After the name Caitlyn struck her in particular, Jenner said, she decided on it when her assistant independently suggested it.

Jenner also revealed to Vanity Fair that her family is starting to prefer Caitlyn over Bruce.

Of her mother, 89-year-old Esther Jenner, the Olympian said: "We had a conversation the other day, we were talking about a lot of things, and, you know, she goes, 'You know what, I think I can have a better relationship with Caitlyn than I can with Bruce,' because we've always had a little tension in our relationship throughout the years."

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Meanwhile, of her son Burt, she said: "He goes, 'To be honest with you, I think Caitlyn is a lot better person than Bruce.' "

"And I really have to -- I think he's right because Bruce always had to tell a lie, he was always living that lie, every day, he always had a secret from morning till night. Caitlyn doesn't have any secrets."