From personal experience there are some things I'd look at.
1: First: the voltage.. If the voltage is low (Say 104 volts though that is given as an example only) the compressor will need more time to start and will draw more current while starting (the blower will need more too) IN fact, there is danger of burning out the compressor at this or lower voltages.
2: CLEANING, go topside pull the covers (Outer and inner) clean the condenser coils, evaporator (if needed) blower and fan, IF there are lubrication ports.. USE THEM (usually there are none).
3: Breaker itself
4: Start capacitor (If you replace, get a "hard start" kit).
But start with the line voltage.