All other things being equal, I'd pursue opportunities for higher salaries rather than higher bonuses. Yearly salary increases compound while yearly bonuses do not. Salaries also tie to other benefits, such as 401k matches, Social Security, and pensions.
If you have reached the top of salary range for your current job, then the new management position with a higher salary range probably makes sense regardless of the bonus (provided that they accept your request to move across at your current salary).
My two cents... Good luck!