I do review self-published books, but they have to be professionally edited and designed, and they have to catch my interest (I get a lot of submissions). I do judge a book by its cover, sadly, so if your cover has amateurish-looking artwork or design, I most likely won't go any further. I've found that the quality of the cover is usually a good indicator of the quality of the work inside.
I read most genres of children's books. My special love, however, is for books that take place in countries outside of the United States. This must be a side effect of my geography education background. I also read young adult books, but I'm quite selective since middle grade is my favorite genre. I also read a lot of picture books and early chapter books.