I finally got back into the shop this weekend after a few weekends off, and the sewing cabinet gained a knee apron as a result. Cutting the curve on the apron was not quite as difficult as I imagined it might be. My el-cheapo bandsaw managed to do a decent job of making the rough cut, and then I made several passes with a drum sander to smooth it out. A final pass with sandpaper gave it a very smooth finish. The two pedestals are now attached to the back of the cabinet as well.
The next step is to make feet, and I’ve started machining the wood for those parts.
