When changing handlebar type or bikes entirely, often it simply takes a bit of time to adjust to everything new e.g. body position.

First, you need to find a position of things that feels comfortable to you. Indeed, maybe your LBS can assist you.
One tip I can give you, is to change hand positions regularly. Padded gloves can help a little too.

And if all fails, you could consider a more relax handlebar type.