Cook bacon in a heavy 10-inch skillet over medium heat, stirring occasionally, until browned, about 5 minutes.
Remove bacon and drain on paper towels. Discard all but 1 tablespoon bacon fat; heat over medium heat.
Add peas, dill, mint, 1 tablespoon of the chives, water, salt, and pepper and cook, covered, stirring occasionally, until peas are tender, 5 to 6 minutes.
Stir in butter, bacon, and remaining tablespoon of chives.