Battery needs help

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So, as you might know on civics there`s only a place for a 45Amp battery.
I just changed mine and everything works great.
Replacing the battery with a bigger one is out of the question.

I noticed that the first time i started the car just after charging the battery .. it fired right off in 0.5 secs!
Then afterwards it always fires off in abit more time, say 1.2 secs :)

I was thinking, is there a way to keep the battery power kinda boosted for startups .. somthing like a capacitor of some sort ?

Anyone done this ? Would a capacitor work ?