Kate Gosselin Appears on Larry King Live

Kate Gosselin of TLC's Jon & Kate Plus 8 said the focus on her current marital woes is "a result of our situation -- our very public lives.""We, as you know, have a reality show," she said on Thursday's Larry King Live while promoting her new book, Eight Little Faces. "Everyone wants to know everything about us. And I feel like this is a situation where, you know, you can't believe everything that you read. You know that. I know that."

"And so we are dealing with it privately," she went on. "We are handling it one step at a time. And I think the important thing to remember is that we love our kids to pieces. They are safe and happy and healthy. And of all times, their birthday is coming up. And I'm just thanking God for five wonderful years with eight wonderful kids. And, you know, we're just -- we're focusing on them."

Asked if their kids -- twins, 8, and sextuplets, 5 - are aware of coverage of her husband Jon's affair with 23-year-old school teacher Deanna Hummel, Kate said, "They attend a very quiet, private school where, you know, people aren't paying attention to that. They're investing their time in their kids' education and activities. And, no, they are, at this point unaware. But they are very aware that we love them very much."

King also read a statement from Jon, who -- despite video, pics and on-the-record interviews -- denies cheating on his wife. "These allegations are false and just plain hurtful," read the statement. "As I adjust to the attention that comes from being in the public eye, I need to be more careful and aware of who I'm associating with and where I'm spending my time. The bottom line is I did not cheat on Kate. I'm sorry for putting my family in this awkward position, given some poor decisions and bad judgments I've made recently. I'm working through this difficult time with my family and my family is my top priority."