The most direct way to do it is a bit tedious but doesn't require a lot of editing skill.
Load your video clip into Adobe Premiere. Export it as Filmstrip (.flm), open it in Photoshop, then frame by frame you can just use the line tool to draw glowing lines over top of the sticks you used in the footage. Save the .flm (you'll need to flatten it, make sure not to save it as .psd by mistake or you'll never be able to get it into Premiere as video footage again.) Open the edited .flm in Premiere and viola - you have a lightsaber fight instead of a stick fight.
I recommend only saving a few seconds of footage as .flm at a time. If you do too much it will kill Photoshop while trying to open it. Also, if you experience a crash or mess up after editing 50 frames it's not as bad as having edited 300 in the same file.