Hi Viberer,
I do not use LVP, I have a six dollar JDM clone from Bulgaria I bought on eBay, and I use ICPROG a freeware programming software. Recently I began programming 16F88 for the first time, and my programmer balked and complained and refused to verify the chips, of coarse I thought, darned sample chips, darned cheap programmer . . . What I found works is to power the PIC from a 5 volt supply while programming and viola' it programs fine.
HTH
JS