You certainly need DC, not AC. Fortunately 110VAC to 24V DC converters are widely available and aren't expensive.
How many Amps does the motor draw? If you don't know, look at the nameplate on the motor and search the Internet for the part number, if it doesn't say.
If it gives the power but not current, then it can be calculated using Ohm's law.
You need a power supply which can deliver more current than the motor will use.