I'm curious which one is more similar to book Geralt, is he a womanizer and drinker (aka like the video game) or more the guardian hero type (aka the tv show)?
It has been a while since I read the books. I think Geralt is really both. Yennefer is his big love, but there were women before and in-between, I think. Once Ciri enters his life, she really becoems important to him, and he definitely takes the guardian job seriously.
The Witcher game series underplays his guardian hero type perhaps in the first 2 games, particularly since neither Ciri nor Yennefer are part of it. But they also give him amnesia, so it stands to reason he couldn't act on it.
Witcher 1 has the weird aspect that there is basically a male version of Ciri in the story, but the relationship isn't the same and not worked out as well.
I actually think Witcher 3 did really well in giving us all the sides. Finding and saving Ciri is the primary goal of Geralt in the game, but it's of course a game, so you'll also play lots of gwent, go into brawls, and kill random monsters and bandits.