Axe is great especially on the softer woods like Yew or Hazel. When you are old and bald with tennis elbow you can have a bandsaw then
Get an axe made from decent steel (I went for a Bahco one, which is Swedish steel) Most imortant learn how to sharpen it well.
You want a weight that suits you, I'd advise against going too heavy*.
IMO. If it looks like shiny chrome or has a rubber grip... don't buy it
Del
* If you need heavy, maybe JW will lend you his shovel