With a battery sourced system, you should only be considering a DC motor. Using an inverter and an AC motor, while it does eliminate the brushes, will cost you in efficiency through the conversion (actually inversion) process, which is going to decrease the amount of run time from your battery source. If you were considering the added cost of an AC inverter to eliminate the brushes, put that money towards using Brushless DC motors. Same net result, no inversion losses.
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