Assuming you've already read up on the
rules, fees, etc. so won't bore you or others with that.
A lot of folks camp close to the dune, and get eaten alive by bugs. Closer to the water, more wind and less bugs. YMMV. If going closer to the water, pay attention to where the high tide line formed the night before and pick up a tide chart at one of the local stores - read it and know what it means, and you'll stand a chance to stay dry. Note that depending on the weather, your tent may get wet anyway. Plan for it, and keep things in vehicle, up off floor, etc. as needed. An alternative is down at the end, right at Snow's Cut, but it gets crowded and draws a different crowd on Fri/Sat/Holiday nights. Others have good luck there. Depends on what you're looking for!
If I recall correctly, somebody got run over in a tent a while back at night. Not a regular thing, but it does pay to think about vehicle/tent placement.
If you're comfortable driving in sand, no worries on tire pressure. If not, air down. Only real rough spot is right at the entrance - seen many vehicles buried to the frame within 20 ft. of the end of the pavement! 100% of the time, they did something dumb. Like didn't actually have 4x4 engaged...
It's a great park, always interesting people watching, sometimes good fishing, very different from other areas - enjoy!