hi new_distro_guy, welcome to lq. do you know what video card you have? any of the distros your holding should do fine. as far as the video goes, if it's not configured properly on install it'll probably drop you back to the console login. if that happens, it's not a big deal, just run the configuration, here is a link to a how to here in the forum to do that
you'll need to know your monitor specs, hor, and, vert, refresh rates, you'll need to know what video card you have, and how much memory it's got. after looking at this
i'd bet you've got the intei 810 card, if so, your in luck, it's supported. hope this helps.