Automatically power on the TV when the PC powers on : Pulse-Eight
Cavo HDMI™ Attivo in Fibra Ottica con Connettore Staccabile 50m - MANHATTAN - ICOC HDMI-AOC-050
If you use a regular TV as a monitor but it won't wake up when your computer comes back from sleep, this open source app might be the solution : r/Windows10