Hi,
Strongly recommend optiLoader, have used it program ATMega8's.
You run the sketch on your main Arduino, the sketch contains three copies of the bootloader within itself and uses these copies to load your target chip. It has a copy each for ATMega 8, 168 and 328.
It gives useful feedback during the processes so you have a good chance of troubleshooting should you need to.
One tip - double check your wiring before powering up the two boards, a mistake could lock you out of the target chip, other than that it is pretty simple.
You can use the same breadboard wiring as used in the ArduinoISP tutorial, use the version withe crystal, the bootloaders in optiLoader are design for boards with a crystal.
optiLoader - GitHub - WestfW/OptiLoader: Arduino sketch for burning new bootloaders
ArduinoISP - just copy the wiring with the crystal -
Duane B.