A good Japanese pull saw isn't cheap, perhaps $60-75, and they have to be replaced when dull. They also tend to be brittle and teeth can break off if you nick them on your vice. Also, after trying to improve my technique for 9 years, I still can't follow a straight line, the saw goes where it wants to. My newest Japanese saw came with instructions that said to grip the handle with two hands, which I had never thought about nor read anywhere. Could you comment on that, Matt? Thanks.
Sound overwhelming? Then just start off focusing on Disston saws. The Disston saws were manufactured by the millions and are the easiest to find, and most are of exceptional quality, especially the below common models. Remember to buy pre 1940’s era vintage hand saws. Here are some ebay searches for wood saws. To ensure that you don’t over-pay, when you’re on ebay click “sold” to see what they’re selling before and to see which saws are desirable. It’s fun research: