If you're on a gig and you have to sight read these charts, you might be screwed for now
But when I was in school, if I had to learn some fast bebop piece as you described, and this was pre-internet byt the way, I would sit down with Ted Greene's book Chord Chemistry which, if you don't have it, you should run out and buy tomorrow.
Anyway, I'd sit down with that book and try and learn different voicings so I didn't have to jump around all the time as you said. Having said that, each voicing has a different sound and it may not fit so, some experimentation on your part is necessary.
My objective, when faced with a fast bop tune like you said, was to find voicings that where close enough so I didn't have to jump around all the time. But, as I said, you may have to jump a little depending on the tune because each voicing sounds different and you want to stay true to the tune.
But, you may not want to stay true to the tune so then, sky's the limit. If you're in music school you should be having a weekly lesson and your teacher should be able to help you navigate these charts.