Find a dark spot and set up. Align your mount first; sloppy tracking ruins everything. Hook the Game Boy Camera to the telescope. Pick video mode if it exists, otherwise use the longest exposure the device allows. That old sensor is weak, so you need every photon the telescope can catch.
Start with Jupiter or Saturn. Use a Bahtinov mask to focus. Turn the knob until the diffraction spikes cross perfectly into a single point. Take test shots. Start short, maybe one or two seconds. Bump it up to five or ten if the image looks too dim. Watch the histogram on the tiny screen. You want bright planets, not white blobs. Shoot a bunch of frames, aim for a hundred or two.
Keep the camera cool. Heat creates noise. If you have a fan, use it. If not, wait for the night air to drop. Consistency matters more than perfection here. If your exposure times jump around, stacking the images later will be a headache. Keep it steady and let the long exposure do the heavy lifting.