You may be putting too much of your weight onto your hands. Pretty common mistake for a newbie. Try shifting your weight back onto the saddle. Also, keep your elbows slightly bent (not locked!) With a hybrid, there are not a lot of places to move your hands around on, you could consider adding bar ends to your bars to give you an alternate position. These are the things you attach to the ends and you commonly see on many mountain bikes!

Hope this helps.
L8R