I don't have experience growing chervil.
I have grown parsley for several years.
I found this information on growing Chervil, Chaerophyllum bulbosum:
Sowing turnip-rooted chervil is best in fall, no earlier than November and you can even extend it up to the month of December.
Break up the earth to a depth of around 8 inches (20 cm), and, best case scenario, add dehydrated manure or compost a few days earlier.
Mark the rows every 12 inches (30 cm).
Sow one seed every 1 inch (2 to 3 cm), more or less.
Cover the seeds with a thin layer of light earth (eventually blended with soil mix).
Watering using a gentle spray.
When sowing in spring, spread the seeds in a pot in a blend of soil mix and sand, and store it in the refrigerator for about a fortnight.
This cool period will help trigger seed germination. Sow.
https://www.nature-and-garden.com/gardening/turnip-rooted-chervil.html
Source: Wikipedia