I don't have anything specific I can recommend. I have hardware to do color calibration on my computer monitors, and could theoretically do the same for my TV, but I have not.
The basic settings might or might not be OK for you (my TV has about 6 presets i can change PER INPUT (so like 24 total presets I can mess with)). For me, I went in and tweaked each preset (things like contrast, brightness, color saturation, tint, sharpening, motion compensation, etc). Even if you don't tweak the settings to your preference, at least I would see what picture modes the TV has and see if you prefer one over the default.
For example, during season 8 of Game of Thrones, one of the episodes was very dark. A LOT of people complained about it. People with a properly set up TV saw things just fine without washing out the darkness. Yeah nighttime is dark, but you could still see what was going on. You also might want one setting for a bluray player vs cable TV with different settings, or different settings for a TV you might watch during a bright day vs nighttime viewing where you don't need it to be super bright.
My suggestion is watch something you would typically watch, and pause it here and there (a still image allows you to compare a lot easier than a constantly changing screen), at least a bright scene, a dark scene, and something with a lot of colors. Go into picture settings and play with the settings, and don't be afraid to go back in again later if you change your mind. (Maybe write down what you were at before you mess with things). Find a nice balance between not being too bright, too dark, too saturated, and the other settings the TV may have. I would go back through the settings multiple times, as each one may affect the other settings more than you'd think.
Once you have things set up how you like, you'll probably never have to mess with em again, so the extra time spent on getting it right makes it worth it. But again, do write down your finalized settings somewhere (tape to back of TV?) so if you have to do a firmware update or reset to defaults you can get your preferences back.