Schyllerwade, I made a mistake on the Olympia.
It is the model 'SF', not whatever I called it in my previous post.

There is a forum member here by the name of Joe Van Cleave, if you look up his u tube channel he does a video review of one of these machines that he has recently acquired.
You know, I have several machines that are in the portable category but only my Remington Model 2 is truly small enough to be easily taken and used anywhere.
The only problem with doing this with this machine is that it is getting on to 100 years old and I don't want it getting damaged from dragging it around the country side.
I used to have a low end Royal that it didn't bother me if it would get sand in it but, not to long ago I gave it to an aspiring young writer at church.
That would be the problem with that little three bank Underwood you have. If I had one I wouldn't want it to ever go out side where it might get dirty.
Something suitable will turn up one of these days.

Schyllerwade, I would sure like to see a Kolibri  in person myself but, they are not commonly found around my location. And besides, I can always resort to the pen and note book if just the right compact typewriter doesn't show up.
As for writing outside and in public, I agree with the distraction of the 'body public' but, I'm willing to try it any way. We live out in the country and our small farm overlooks the Rush Lake marsh system that is probably 10,000 acres or more. Further to the North the valley opens up to a view that goes on for 30+ miles and offers a great deal of inspiration for writing.
To sit on the front lawn under our enormous maple tree, gazing off to the North valley is like being in an incredible yet simple cathedral and I really am inspired when I write there. 

For me, the fact that you can take your typewriter out of doors with never a fear of the battery going flat is a major advantage.  I often take one into the back garden and sit by the pool for hours and hours, knowing that the TW is always going to be ready for action when inspiration comes along (i.e. when I wake up!)
  But I have never typed in a busy public place such as a cafe - it would feel wrong, and there I just use a notebook.  I don't like other people's noise, and see no reason why they should endure mine.

If it was a "little" Remington then it's more likely you bought a Portable #2 and not a Model 2, which was a standard typewriter manufactured during the 1880s.

And here's another one I grabbed for $25. It's my first royal of any kind, this one is a 1949 Quiet De Luxe and I got to say, I love writing with it. It may be my new daily writer. Everything works, magic margin, touch control, ribbon direction switch-thing. Awesome.