For many bikes, battery range is more important that total power (because they're all pretty powerful). You want a bike that delivers a range long enough for your rides at the power levels you want. Most e-bikes will have three to five levels of assist kicking in anywhere from 25 percent of you pedal power to 200 percent boost. Consider how fast the battery takes to recharge, especially if you'll be using your bike for long commutes.
Weight: The biggest practical difference between an electric bike and a standard one is the weight. Those batteries and motors are heavy! Of course, the weight is more than offset by the power assistance, but if you have to manually lift or maneuver your bike a lot, this will be a consideration. And if you cycle long distances, don’t forget that if your battery runs flat, the extra weight will make riding even harder.
E-bikes mostly use motors and battery options from a few major suppliers: Bosch, Yamaha, Shimano, and Brose. A few other brands exist, but are less reliable or powerful. Some, like the Yamaha system, have more torque and others are quieter. But generally all four make good options. Look for motor output (in watts) which will give you an idea of total power. But watt hours (Wh) is perhaps a better figure to use—it takes into account battery output and life to give a truer reflection of power.