Aeropress allows you to combine immersion and high pressure with a £25 device that largely self-cleans, and is small enough to travel with. It makes a smooth, rich-tasting coffee.
With electric grinders you pay for the burr, which is what really matters, and then an electric motor. But if you buy a fairly decent hand grinder like the C2 chestnut, you get a far better burr for the same price, and because of that hand grinding is really easy-going and quick. I enjoy doing it every morning.
There are some coffee enthusiasts that create over-complicated aeropress recipes, but the truth is that it was designed for simplicity. What I've found matters is:
1. Small-to-medium grind size
2. Stand upside down to immerse for longer
3. Use 80-85c water
4. Stir
5. Press gently
Obviously the quality and freshness of the coffee beans matters too, and you can vary the immersion time for the strength of the coffee you want.