I don’t have fat fingers and am wondering if it will be tough to play.
My two flutes are a Burns ergonomic large-holed standard (in mopane), and a Copley & Boegli, which is considered to be a medium-holed flute (in blackwood).
What I find is that whichever one I happen to be playing is my hands-down favorite. And I’m always thinking I should sell the other. 
The Burns, to me, has a deeper, richer and more “luxurious” sound. It feels great in the hands, and causes me no pain or discomfort. The Copley is brighter, faster, more accurate and also a joy to play. Both have more than enough volume, and neither is a flute I would expect to grow out of.
I think my answer to your question is that normal hands will do fine with a Burns large-holed flute. You may find that you can move around a little bit quicker on a smaller-holed flute, or not. If this is a concern, Casey’s got that realm covered as well. Terry McGee’s GLP is also very highly regarded as a medium-holed flute, and of course there are others.
We’re fortunate, indeed, to have modern makers supplying great flutes at reasonable fees. 
Second this.
Casey’s flutes are set up to be easy to finger.
Unless you are going to have a problem with any
large holed flute (not so likely) this should
be one of the large-holed flutes that easiest
to play.