You could also rotate the bars up a bit. That will help you feel less stretched out. Right now, it looks like the top of the bar slopes down to the brake hoods. Try to rotate the bars up several degrees and see if it feels better for you. Works for me on my bike. Later, you may want to rotate it back down again as you get used to the feel. Try to get the top of the bars level to the ground. When you go for the fit at the shop, they can help you with this, as well as moving the brake levers to a better place on the bars for you so the top of the bars, as well as the profile of the brake hoods are level and on the same plane. Like this:

Hoever: If you have a carbon stem or handlebar, don't do it yourslef unless you know the torque rating for the bolts or you could crack parts = danger.
Here's my bike with the level bars and the level hoods+shorter stem with rising extension = feels good.