Don't spare the blades. They're cheap. A dull blade is a quick way to frustration.
Also, if you are having issues getting a piece loose, you can bandsaw or fretsaw a little wide and sand to the line. I have a little hardware-store belt/disk sander - and I'll put a piece on it and turn the disk by hand for a little gentle sanding that I know is at a good 90 degree angle. Another choice is a British Pattern mortising chisel - some of them, unlike American Pattern chisels, have 90 degree corners and sides. One can put the part down flat, put the chisel against an edge, and pare away material with great precision.