personal information includes topics such your sexual preference, the status of your parents relationship, basically anything like that that the general public would not NEED to know about you. Private information is things like your credit card numbers, etc, or anything that people SHOULD not know about you.

Personal information is considered to be names, e-mail addresses, mailing addresses, telephone numbers, and any demographic or preferential information you may disclose for the purposes of online interaction щкidentification Private information is considered to be financial information such as credit card or bank account information, communication indicated as confidential, or any information that is not routinely collected

I think that "private" is more "personal".