I dont know about cordless but we got a cheap $15 off amazon that broke the first day. Then we got a $50 Kitchenaid one for $30 at costco and that thing is a workhorse! We love it. We make mayo and mustard with it but it mostly gets used for BPC.

I use a quart widemouth canning jar to mix my coffee in. It is tall and thin, just enough for the immersion blender to fit and easy to clean. But then again, when i make BPC it is for 3 people so a canning jar might be over kill for one person...maybe, it is BPC after all

As far as cleaning, really easy on the one we have. The attachments pop off so you can clean them separately but if you are getting an all-in-one just immersion blender then just put it in the warm soapy water and turn on for a few seconds and it comes clean. Wipe the outside down a little and done.

There is a good battery operated "frother" on amazon someone posted that they said works great for BPC. I don't have an immersion blender at all anymore, and when I did, I just had a cheap one. To clean, I just ran a cup of hot water, a couple drops of soap, then blended the hot soap water, rinse, and set on the towel to dry. I can't imagine any others being that difficult. I want to get a stick but the thought of a rechargeable one is intriguing. Gonna go look again!

I've got an ancient Moulinex immersion blender that I've had since 1985 and it's still going strong 30 yrs later. It's got a cord of course. But it works very well.

Whenever I tried to use a blender, my coffee spilled everywhere, so now I just stir it by hand. Not frothy, but still good.