When I had problem with charging on my iPhone 6 I've went to Apple Store with that and "genius" at Apple Store literally told me to use SIM removal tool to dig it out and then he proceed to do it on my phone as I watched. Pins are only on one side so as long as you be careful and not bend them you will be fine.
A spurt of canned air followed by digging with a toothpick wrapped in cotton and damped with ethyl alcohol does magic.