As a freelancer, you will live or die based on reputation. Protect your reputation above all else. This means, among other things, avoiding the instinct to lowball estimates. If you struggle with developing accurate estimates, it's better to err on the side of too high than too low.
Presenting a client with a bill that comes in less than what you estimated is pure win for everyone.
Presenting a client with a bill that comes in less than what you estimated is pure win for everyone.