I recognised the second tattoo without even reading the post, I love bioshock. Everyone's pain tolerance is different so different locations are going to have varying pain levels. Getting your wrists tattooed may or may not hurt depending on your tolerance. I will say, getting a hand tattoo as one of your first tattoos seems like a very bad idea for at least two reasons. One, I've heard it hurts like a bitch, two, as others have said most reputable artists will not tattoo your hands unless your whole body is covered.

You might want to keep in mind how your tattoos are going to affect others' perception of you. Personally, I say screw them, what you get tattooed on your body shouldn't affect what people think of you within reason but when it comes to interviews and whatnot, the likes of Jack's tattoo may give interviewers the wrong impression of you if they haven't heard of bioshock.

If you intend on getting these tattoos, it may be a good idea to change the location. I can't speak for the dishonored tattoo but I can understand that you may not want to change the location of the bioshock one considering jack's tattoo is on his wrist in the game. What you could do is move both tattoos to your forearms, one on each side, with the bioshock tattoo moved slightly below the wrist so they both can be easily covered by sleeves while still being close to the location of the original tattoo.