The hard starting when cold is a symptom.
There are two common causes of hard starting when cold. There are more but let's cover both.
1. BAD CAPS.
Google BAD CAPS to see the pictures and stories.
2. A power supply that is just a little over taxed.
This one is almost like item one in that as these Electrolytic Capacitors (CAPS) warm they increase in value a little and work after the warmup.
Details are needed and for item 1, a visual inspection of all boards, including the power supply is required.