I have the Fein, and really like it. It is corded, but the long cord makes it easy to find an outlet. The soft start and quiet motor makes it a pleasure to use. I have used if for most of the cuts mentioned before (tight places, tile, plunge cutting bridle joints in 4 x 4s, etc), but it is not an everyday use tool for me, so cordless may be a good option. One thing I really like about it is that it doesn't throw dust around like a circular blade does. Makes it easy to control the mess when working indoors. Long straight cuts can be achieved easily by using a straight edge. Great tool when doing interior remodelling, etc where you would be making blind cuts where you can't access the back side (cuts where you don't want to go through the under laying material) or flush cutting along a 90 degree surface.
I bought mine when I needed it to cut some back splash tile when replacing an over-the-stove micro wave, so would put it in the category of a tool I didn't buy until I had a need for it.
If buying new, and looking for quality, I would recommend Fein or Bosch that take the starlock style of blade. The starlock style lets you easily and quickly change or reposition the cutter (literally just a few seconds) and holds it more firmly than the original pin style. For someone that has a stock of the older style blades, it probably wouldn't be cost effective, because the starlock system is not backward compatible. I have found that the Fein and mainly Bosch blades are good quality and last a long time. (Bosch bought the starlock patent from Fein).
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