Depends on if you have a car.
New Breed and Barra, like someone suggested would be like 20 miles & 15 miles respectively. Valko would probably be like 10 miles from you, you could probably take the #6 lakeshore bus up near there, might have to transfer to get exactly there. I guess you could take the red line, too, but I think the red line stop near UChicago is in a shady area- your call.
Another thought would be to take the Metra Electric Line, the end of the line is right across from Millenium Park, there is a station at 59th, 56th, and one right by Regent's Towers, I believe- you might even run into Obama if you go to that station.
Basically, Valko is closest to you, and the others would be inconvenient if you're not driving. I hear UChicago has a decent judo club, so that might be a good bet for you.
The moral of this post is that Hyde Park sucks and you should move to the north side.