Hi,

It might help you to get more detailed about the condition of the car, to help zero in on the most like cause of hard start when cold.
A blown head gasket is a mishap that can happen, anytime, unless the car shows excessive neglect!
In this case you could have a ton of places to repair.

The best place to start, is always, the ignition systems condition.
Like it was said earlier, the timing and the ignition are prime suspects.
The compression is a factor if performance of idling rough is in play and then it jumps to fuel mixture!

There is a whole host of issues from mixture here in whether it’s an air control or electronic control event?
This is why I express concern about overall condition of the car. In like, has it sat for a long time before you came along?
Age we know right away, but mileages or maintenance records can tell us about the freshness of components so that we can “ball park” probabilities!

Give us some details from past to the present work done and how hard is it starting up.
How long does it crank before hitting and what happens during warming up to where it runs fine!
Describe fine a little bit as in how it pulls and drives along.
Hesitation, power band curve ok and so on!

Welcome to the BRICKBOARD and Becoming a BRICKSTER!

Phil