Thanks guys.
Ben, I assure you that you can make this axe with the minimum of tools.
First, you'll need to forge a drift of a cross section shape, size, and taper that you like. I just forge mine. Then get you some rectangular stock in the range of 3/4 X 1 or 5/8 X 2 or something like that.
Spend the most time getting the "bowtie" ready. That's the unfolded body of the axe. It will be important to start in the middle demarcating the poll. Then flip it over and demarcate the front of the eye. Then forge the eye walls to a comfortable thickness, without getting too thin. It's very important to note that the eye walls cross from one side of the original bar to the other.(see 1st picture) No thinner than 3/16 to start with, because they might stretch a little with the eye shaping. Then taper and flair the blade halves. Double check everything for symetry before folding. Forge and insert the bit and weld.
It might take a few tries so get extra material. Consider a few failures as research and not beat yourself up over it too much. You will learn something on each one and get better quick with what experience you have already. The following pictures show it coming together. This style shown in the pictures below is a very old pattern but the principles behind any axe would be the same.
The first two photos show the bar on edge to see the fuller marks.