For PS2 you could get a RAD2X cable. The RAD2X cables are based on RetroTINK. It’s not cheap, but it’s probably the best option for you since you only have a couple consoles. Do note that this also requires a mini-HDMI cable and a micro-USB cable to function.
For Wii you could get a dedicated HDMI adapter like this one. This specific adapter is the one recommended by RetroRGB. If your television is old enough that it has component input, then that’s also a good option.
Edit: I forgot to mention that both of the Wii options I mentioned don’t upscale. It’s just getting the best picture out of the Wii’s native capabilities.
For PS2 you could get a RAD2X cable. The RAD2X cables are based on RetroTINK. It’s not cheap, but it’s probably the best option for you since you only have a couple consoles. Do note that this also requires a mini-HDMI cable and a micro-USB cable to function.
For Wii you could get a dedicated HDMI adapter like this one. This specific adapter is the one recommended by RetroRGB. If your television is old enough that it has component input, then that’s also a good option.
Edit: I forgot to mention that both of the Wii options I mentioned don’t upscale. It’s just getting the best picture out of the Wii’s native capabilities.