If you broke the FF jack antenna connection on your TV it's not possible to repair (the part is welded on).
You can get a new tuner board for the TV or use an external ATSC tuner that would connect to an HDMI input. You need a tuner not just a converter box (these usually don't have HDMI out).
Since many of these offer DVR functions with the addition of a drive you might find that to be a plus. Some even have multiple tuners so you can record on program and watch another. The best tuners are the Tivo and Channel Master. Price range is very wide.