I have two doll-face Persians. They are the most incredible cats I could have ever asked for. I can NOT recommend this breed enough! From my experience with friends and family owning Persians, as well as interacting with my girls' parents and littermates, I've found this breed's temperament to be amazingly sweet.
I have two girls from different litters (same breeder, they have the same dad but different mom). Both of them are sweet, gentle, easy-going, and are absolute angels. They get bursts of playfulness during the day, but in general they are some of the laziest kittens ever.
They're also very needy for attention. My girls come to me and my boyfriend daily meowing to get belly rubs and pets. They are velcro-cats, and literally follow us everywhere. They're unbelievably sweet and loyal and just adore being with their people. If they don't know where we are, they are searching for us and meowing for us. When we respond, they come running with happy chirps lol.
When getting kittens, I must recommend getting two! When we got our first kitten, Ellie, she was fantastic but was also very bored so she would act out at times (typical kitten stuff, like playing with people's ankles, playing with claws, etc) but as soon as we got Tootsie as her friend, Ellie literally became an angel. Their companionship is priceless, and Ellie's happiness and comfort increased tenfold. Since they have each other, they don't stress at all when they're home alone.
Also, some Persians have different coat types. Obviously, they're all longhaired, but my Ellie has a smooth, silky coat that doesn't require much grooming. Tootsie on the other hand is SUPER poofy and dense, so she requires a lot of brushing or she mats badly. Persians do shed quite significantly, but it's much less if you keep them nicely brushed and groomed.
Of course, every cat can be different so when you look for a kitten, it's good to handle it a lot and watch closely to see it's temperament. Also, like Nicole.H mentioned, make sure your breeder is ethical and breeds for health and temperament. Do NOT get a kitten from a pet store or massive "kitten mill" breeder that just breeds for money, or you'll be sure to get a sickly kitten which is not what you want.
Once again, I seriously can't recommend this breed enough. They are amazing and the breed has absolutely stolen my heart. I wish you the best of luck! Please keep us posted on if you decide to get a kitten or not.