FreeDVDBoot -
You'll need to choose "normal", and I'm going to recommend a "cross-model" install. This will allow the card to boot any PS2 of the same region as your current one. In case you have to replace your PS2 you won't have to find the exact same model. Once this is done, you should be able to exit the installer and safely reboot your PS2.
Free McBoot to eksploit rozszerzający horyzonty naszej konsoli PlayStation 2. Korzysta on z opcji „OSD Update", wobec czego jest zupełnie bezinwazyjny i bezpieczny. Uruchamiany jest on bezpośrednio z naszej karty pamięci, więc w każdej chwili możemy z niego zrezygnować, po prostu usuwając kartę pamięci z konsoli.
As for using freemcboot, a standard FMCB memory card just isn't compatible with your model of ps2, so you won't be able to make that work. I've seen some people say they they've gotten freemcboot working in conjunction with their modchips on 9000 models, but you'll need to get your modchip working first to explore that.

FunTuna does not AutoBoots with your console. You need to run it every time you turn on your PS2. Doing it is quite simple: 1 - Go to the PS2 Browser, then open your 1st memory card and you will see an invisible icon. 2 - Press O to go back (or X if your console is Asian) 3 - You will see that the memory card icons are now transparent.

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ps2 free mcboot not working