Yall are talking a lot about bike fit, stem lengths, and hand positions. OP said he is new to road bikes so chances are he is holding the handlebars too tightly. Thats gotta be 9/10ths of the issue.
OP try riding with one hand and then with both hands just barely touching the handlebars. Your body does the vast majority of the steering and little adjustments to keep you upright and stable. Youre simply grabbing too hard