Luckily I cut everything with 5/8"/1,5 cm seams, so I had enough fabric to lay out the skirt at the hips.
After some experimenting on scraps I decided to use a narrow French seam.
I stitched at 1 cm, cut the extra fabric off with my locker (without treads or needles). I read this tip in Threads sometime ago, and it works smoothly.
Here are two pictures of the French seam, first stitched and cut, the second is the finished seam from the right side of the fabric.
Tonight I sewed all fabric pattern pieces together, but not the seam where the zipper will be. Still thinking how to make that.