I know the deadline has passed for OP in making his decision, but for future readers who may be in a similar situation, this is what I would say. I say this as someone who was in a very similar position a few months ago with very similar interests who ended up turning down 4 Ivies, Northwestern, Tufts, and state school full ride for Georgetown, so understand while I will try to be as objective as I can, I might be biased.
First, of all, congratulations! Those are three truly amazing and top-tier insitutions that anyone should be lauded for getting admitted to. You have clearly worked hard for this and now you’ve found yourself in a position where you’re deciding between three schools, all of which will leave every possible door open for you no matter what you’re doing. I have never heard anyone say that a degree from any of those schools did anything but propel them to heights they probably couldn’t have reached without the connections and opportunities they found there. So give yourself a pat on the back sir.
Now, with that being said, my vote is Georgetown. I think that one can almost make the argument that for what OP wants to do, Georgetown is objectively the single best school in the world. One of the pivotal moments in my decision was a conversation I had with my uncle about a week after results came.
Real quick background on my uncle- he’s basically a bigwig in DC. At various points in his career he has been: chief of staff for two separate senators (incidentally, one of whom was a Gtown grad (just did undergrad, no law school), the other went to a no-name state school then Harvard law), on both Clinton campaigns (Bill went to Gtown, and he and Hillary both went to Yale law), one of the chief lobbyists under Obama (Harvard Law), and is now the VP of a particular branch of the world bank (his boss went to Gtown law), and at one point he was offered a job as a lobbyist for Goldman Sachs, and the managing director he talked to happened to be a Gtown MSB grad, interestingly enough (now granted that last one isn’t D.C. it’s Wall Street but I figured I may as well include it as it’s part of my uncle’s story). So he has lead a fairly impressive career in an area extremely relevant to yours.
It is for this reason that I believe that his opinion, as someone who has been out there in the field REALLY doing it for the past three decades, has more credibility than what I, or, quite frankly, most people writing on college confidential can offer.
He believes that, in terms of perceived prestige of undergraduate institutions in Washington, D.C., only a select few carry true weight. In his experience, the only schools D.C. from which a degree will actually have a meaningful impact on how an interviewer sees you are Georgetown, Harvard, Yale, Princeton, Columbia, Stanford, and Hopkins- and in that roughly order. The thing is, he says that the lines are really blurry from Harvard all the way to Hopkins, and that basically, all those schools are equal with Georgetown having a slight edge. A few lower Ivy/Duke/Chicago/etc level schools might move the needle in your favor a little bit, but in D.C. any schools that aren’t the absolute best for politics won’t mean much, simply because EVERYONE gunning for positions, jobs, internships, etc. is generally very qualified, and in D.C. you get a LOT of kids from extremely good schools, so employers have been numbed, in a way, to all schools but the few I mentioned. Also, sadly, he thinks that top LACs are very underappreciated, at least in D.C. He has heard of kids from Williams- likely the best liberal arts school out there- who were left stunned when their interviewer had never even heard of their college, and they ended up playing second fiddle to kids from other, more well-known, but not necessarily better schools. Clearly, I don’t agree with this and I believe this state of affairs stinks but it’s just the way it is. Anyway, back to the main point, those schools I mentioned do add some extra flair to a resume. Not to mention D.C. is chock full of alumni from all seven, especially Georgetown, and that’s usually what gives Georgetown the lead. In terms of straight up prestige in D.C., all are about equal with Gtown maybe having a slight edge- but the thing is, D.C. is so rife with Hoyas in every possible corner of power who will hook you up with whatever position you want, that it’s the sheer volume of the network that’s why it has the real competitive advantage. This allows you to not only get any job with ease but move between jobs and up the ladder as well.
In summary- if you want D.C., be a Hoya. There are a few other schools which will leave absolutely no doors closed to you for anything in D.C.- and you got into two of them- but they’re just not the same. Going to the best university in the capital of the most powerful nation in the history of the world as well as under a few miles from most every resource that comes with that (Capitol Hill, World Wank, White house, etc) comes with some serious advantages, especially for those interested in one day making it big in D.C.- whether that means walking the corridors of power, heading an NGO, being an ambassador, or whatever the dream might be.
Of course, Yale and Hopkins each have areas in which they beat Georgetown, and they are both amazing schools. But for this, I would say it’s almost hands-down Georgetown. I mean dude, you’re interested in poli sci and international relations, you truly can’t beat doing that at the best school in Washington, D.C.