if you have used the configuration where you external Ethernet card was in the bridge with LXC containers/VMs then it won’t work with WiFi card.
So, easiest way, is to use NAT between your containers subnet and your home router subnet. It will make Internet connection work for your containers, but in this case your containers won’t have an IP address from your home router subnet, but from the isolated LXD bridge subnet. This works well for most usage scenarios.
P.S. There is special Wi-Fi drivers feature called “4addr” and enabling it can theoretically help you to put Wi-Fi in the Linux bridge but that’s hardware-dependent thing and we can’t help you with that.