I love Persians (hence the user name).
My rescue Persian was a total lap cat, however compared to other cats, he was hard work. Whilst he was also an indoors cat, he liked to go outside, so I used to take him for walks around the garden and the surrounding area on a cat harness which he really enjoyed. He also loved being brushed - you need to make sure you've got time to brush them, else they get matts pretty quickly so the sooner your kittens accept being brushed (and maybe even enjoy it) the better.
Also, as they have no noses as such, they can get quite runny eyes which need to be taken care of - I used to always gently wipe any eye gunk away with a warm cotton pad - if you don't wipe it away, it goes hard and then it's much, much harder to get rid of.
In regards to getting one - please try and find a registered breeder, not necessarily one of the ones on Gumtree or a free-ad. Persians can command a high price and sometimes people aren't responsible, giving you cats that have health problems and exploit the Queens, forcing them to have lots of litters
. If you find a reputable breeder, they will also be able to help you in looking after your Persian and ensuring you give them the best start.
Oh.. and yes, they can have issues with the litter tray. Mine used to like urinating EVERYWHERE apart from the litter tray... 