Preheat grill over medium heat.: A medium heated grill should feel steady and not blistering hot, you will hear a soft sizzle when the peppers hit the grate. This heat level encourages light charring without collapsing the tiny walls of the peppers . One common mistake is cranking the heat too high which can blacken the outside before the flesh softens, so aim for steady, even warmth and let the grates come to temperature for several minutes.
Meanwhile, place peppers, olive oil, pinch of salt and pepper in a small bowl. Toss to evenly coat. Set aside.: As you toss, feel the slickness of the olive oil coating the skins and notice how the salt and fresh ground black pepper cling. This light coating helps the peppers develop a glossy char. Avoid over oiling which can cause flare ups on the grill, and be sure each pepper half has a light sheen rather than pooling oil.
In another small bowl, thoroughly combine cream cheese, garlic, dill, basil, 2 tablespoons chives, fresh ground pepper, pinch of salt and lemon zest.: The aroma should open as you mix, the citrusy lemon zest cutting through the denser scent of the softened cream cheese . Use a fork to whip everything until homogeneous and smooth, which makes the filling easier to pipe. If the cream cheese is too cold and clumpy, it will be hard to incorporate the herbs well, so bring it to room temperature first.
Transfer the cream cheese mixture to a piping bag or small Ziploc bag and put in the refrigerator until ready to use.: Chilling firms the filling so it holds its shape when piped into the peppers , and the cold contrast is pleasant against warm, grilled flesh. If you skip chilling, the filling can be too soft and messy, so plan a brief rest in the fridge for structure.
Grill peppers over medium heat, until slightly charred, about 2 minutes per side. Transfer to a small platter.: As they grill, listen for a light hiss and watch for small dark flecks forming on the skins, then flip to char the other side. They should still be brightly colored with a hint of smokiness, not floppy. A frequent error is leaving them too long which makes the flesh collapse and lose that satisfying bite.
Snip the tip of the piping/Ziploc bag and carefully fill each pepper half with the cream cheese mixture.: Moving the peppers off the heat prevents carryover cooking and preserves texture. The platter will warm slightly from residual heat, which pairs nicely with the chilled filling. Do not stack them tightly, as trapped steam can soften them further than desired.
Top with remaining 1 tablespoon chives.: You will see the filling glisten as it nests inside the charred hollow, offering a creamy contrast to the smoky pepper. Fill gently so the pepper keeps its shape, and wipe any excess for tidy presentation. Overfilling can cause the mixture to spill, and underfilling may leave too much empty space, so aim for a balanced portion in each half.
Top with remaining 1 tablespoon chives.: The reserved chopped chives add a fresh final note and visual pop. Sprinkle them evenly so each bite has that hint of onion like brightness. Avoid heavy handedness which can overpower the delicate herb mix in the filling.