Normally, there's no way to start a new Silksong playthrough with different crests. There are mods for this, but setting them up can be a little intimidating. Thankfully, you can achieve the same results by editing your save data, which is super simple! I haven't seen anybody covering this, so I figured that I'd make a tutorial.
Thank you for watching, and I hope this helped!
Hollow Knight Save Editor website:
https://bloodorca.github.io/hollow/