At home I take notes on the computer. Timestamps, instant sync across devices, whatever editor I like to use, et cetera. If I get a random call and someone starts talking at me, I’ll settle for scribbling on a fast food receipt if it is close to hand. I use my phone sometimes, but I generally take notes when I’m on a phone call.
When I’m at an in-person meeting with a client, pen and paper is the best option because it conveys some degree of respect. People still seem to be put off by people pulling out a laptop and typing during an emotionally charged meeting. If I pull out my cellphone and start poking at it in a professional setting, people don’t think that I’m listening or taking notes. They think that I’m bored.