I have a cheap and cheerful one that I bought a good few years back (either draper or silver line) that is fine for basswood or pine but rubbish for anything else.
I had some knife scales in matched/bookended sets that were a bit too think for my needs that I wanted to cut in half.
The blade wouldn't make a dent in them and simply bent until it was touching the housing.
I only mention as if you will only ever use it on small sized basswood a cheapy should be ok but may be worth considering if you will ever want to use it for more than that.
A lot of that would be down to the right set up and good blade; for blades the place to go is the Trucut linky in post #12 above, they specialise in good blades for smaller hobby-type saws. A set up is very easy to do and there are a few good videos on youtube which show exactly how to go about it very quickly and without previous experience.
The Workzone one I bought for £80 took ten minutes to set up and the blade cost less than £20; the saw wouldn't have cut a packet of butter in half as it came, but I've cut seasoned Walnut, Oak, Yew, Holly and Rowan without a murmer. Just don't ask the tool to do too much too quickly and remember to give it a rest and not make cut after cut. That's when you need to spend large on a pro model.