Those little Harbor Freight Air Body Saws are a little more forgiving than a sawzall.

HF Saw

And at $19.99 a bargain too.

I tend to use it in conjunction with cut-off wheels and find it easier to use in tighter corners.

And ditto on the use good quality discs. I made the mistake a few weeks back of buying some no-name brand cheepo cut-off wheels. I'll have the scar across the fingers of my lefthand for a long time to remind me that they shatter occasionally. You'd have thought I would have learned my lesson after the first 2 crumbled. The 3rd one did the damage and sliced right through my gloves on its journey through the air.