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Chloe appears to be a black smoke Persian. She's not show quality but if you are planning on breeding her, I would find the best male you can possibly afford, preferably an older kitten or "teenager" as your girl is already one year of age. Has she been in heat yet? It's not good for a female's health to have frequent heat cycles without being bred. This is the reason I would suggest not getting a baby and try to find an older kitten or young adult male instead. Ideally, you should wait until your female is approximately 18 months old before breeding her for the first time.
A blue-eyed white male could work but it's often difficult to determine what color he is "masking" in order to know with 100% certainty what colors his offspring would be. Statistically speaking, when bred to a black smoke female, 50% of his kittens would be white, unless he is homozygous for white. In this case, 100% of his kittens would be white regardless of what color the female is. With your girl being a smoke, you'll also get smokes and solids other than solid white, if the white male is heterozygous for white. Again, the actual colors of the kittens would depend on what color the white male masks. Based on the color preferences you mentioned, a good choice in my opinion would be either a solid black or solid blue male or a black smoke or blue smoke male to breed your girl to. Blacks and blues are fairly common while smokes are harder to come by, especially the blue smokes.
Here is a very good article on Persian genetics that I commonly refer those who are new to the cat fancy to...
http://www.cacaocattery.com/colorgenetics.html
As for showing advice, I will leave that entirely up to the "show" breeders here. Try posting your questions under the Show section or possibly over on the Persian Talk board as we do not have a section specifically dedicated to breeding and genetics anymore. That way, more breeders are likely to see your questions and you'll get more responses.
I wish you the very best of luck in your breeding/showing endeavors.