Modern paint is pretty chemical resistant. (Unlike old paint, or the rattle can crap I was warning you about.)
That said, I would start by trying to remove as much as possible with a clay bar - Mother's has a good package that's available at any auto parts shop. In fact, I highly recommend claying the paint across the whole car if it hasn't been detailed recently. (Run your hand over the paint - if it doesn't feel really smooth, it's got lots of embedding junk that would be helped by claying. Lighter colored cars, especially white, will literally change color after claying.) Buy an extra bottle of quick detailer to go with the clay kit. More is better.
AFTER getting what you can with the clay, I'd try the bug and tar remover with a microfiber cloth.