i) Explore your options thoroughly. Too many students get bewitched by Big Tech companies, with their bold promises, their fancy campuses, their big recruitment events, and their nice swag. Nowadays, this also happens to students with start-ups. But those jobs are not only highly competitive, but they also have very similarly exacting work cultures and very little work-life balance. These are cutthroat environments that are, frankly, not suited for everyone. Instead, many graduates would probably be happier working at, say, medium or small-size companies where they can find a workplace culture that fits them rather than the other way around, or non-tech companies where the pressure is lower because the goal is more stability and support rather than rapid innovation. Of course, this is the exact same dynamic that plays out with young consultants, accountants, lawyers, and doctors, who are also often initially attracted to high-powered, high-pressure environments but often end up deciding it's not for them, especially as they get older and start thinking about families.
ii) Specialize. There's no job out there with the title, "Computer Scientist." Employers are looking to hire you for a specific set of skills and knowledge. If you can identify the area of Computer Science you're interested in and the work you want to do in that area, you can again get a big leg up over your competition if you can demonstrate that you actually want to do what your future employer wants you to and that you're good at it. If you want to work with databases, then take those extra database electives and learn some other database technologies on your own time, and your resume will stand out amongst all the others for any DBA job.
iii) Don't sweat it too much. You've probably been alive for 22 years or so, so you'll probably be in the labor force for 50+ years. Your first job is not going to be your last job, and you may easily find your career path taking unexpected turns that you never even knew existed. Just like you didn't know what the areas of computer science were as a freshman, there are many many CS-related job types out there that you're not even aware of, and 50 years from now, there will probably be even more. While it may seem like your first job will set you on one path for the rest of your life, really it starts you towards 5000 possible paths out of millions in total. No, you don't get the stability of a "job for life" anymore, but that can also be freeing in a way. Don't worry about finding that "perfect" job; even if you did find it, you and the world around you will change over time anyway, so just take your first step confidently and always keep an eye out for your next one.