I would go with the closed hole flute for two particular reasons. First of all, it is cheaper than the open hole flute. This is easier for you if you decide that you would not like to keep the instrument. Secondly, open hole flutes require a more precise hand position than the closed hole, making it more difficult fingering wise no matter the hand size.
However, the open holed flutes do allow a much more mature tone. And if you feel your fingering is not precise, there are plugs you can buy to close up the holes until your positioning has improved. If you are dedicated to playing the flute then the open hole is a better choice. Most beginners will get a closed hole because they are not sure they will continue playing the instrument.
The basic answer for you can be determined by which of these qualities is more important to you. I hope you enjoy playing the flute as much as I do!