@Cassandra Brown to hell with trends. Don't paint that woodwork! Get better lighting if you want it brighter inside.
Lead paint is tricky. Do you still have time in your inspection period to hire a lead inspector and find out the extent of the problem? The best advice is to delead your unit, according to the laws in your state. If you can't afford to do a full delead, do everything you can to minimize your children's exposure to lead. It's the dust and the small paint chips that are the real culprit, so deleaders worry about friction surfaces (painted doors and windows, painted trim that gets banged up, staircases, etc.) much more than they do about walls that just sit there. Of course, if you drill a bunch of holes in your wall and create dust, that is just as bad. Or if the paint on the walls is peeling and coming off, that's also bad. But if your house doesn't have painted doors, windows, windowsills, staircases, and trim, the main areas of concern for lead paint dust are minimized.
We did not plan on having a kid, so we didn't delead our unit. Then we had a kid (oops!). We had replacement windows, so that isn't a concern. But the painted windowsills, doors, trim, and so on are all suspect (I never tested for lead, since given the age of the house we're certain to find it). We have blocked off his access to the windowsills with bookcases and other furniture so he can't gnaw on them. We try to be as clean as possible, including using a HEPA vac and wet mopping to capture any tiny lead dust particles. So the main areas of concern are 3 interior doors and a set of pocket doors, plus some baseboard. I have considered replacing the beautiful solid doors and trim and ripping out the pocket doors, but am hoping I don't have to since it will not only be expensive and disruptive but also detract from the historic nature of the house. Right now his blood level is 4 on whatever scale they use. Under 5 is considered safe. If it gets up to 10 the state will require us to delead the unit, at a cost of ~$10-20k. If it were to reach 45, he would need medical treatment to bring the levels back down.
Obviously, we keep a close eye on it and I am keeping money put aside for deleading just in case until he is out of the danger zone (he's 21 months now). Deleading would mean we would have to move out of the house temporarily (including removing all the furniture in the impacted rooms) so I am really trying to avoid it - if you are at all considering deleading, do it before you move in!
Besides the safety of your own children, you also need to worry about the safety of your tenants. You cannot legally discriminate against families with small children, so there is always the concern that you may need to make the house lead safe if a family moves in (or your tenants have a child). You should take the EPA 8-hour lead safe renovation course to learn the ins and outs if you will be doing work on the house yourself.
EPA maintains a huge amount of info on lead paint and lists of approved deleading firms, so you can start there. A lot of lead work is done at the state level. South Dakota seems to be pretty hands off, so you might want to look at how other states do it. Rhode Island has a fairly common sense approach to the issue and lots of information for landlords on lead mitigation techniques that they consider acceptable besides the full removal or encapsulation of all lead paint.