How to power my project ?

Hello,
I am very sorry to ask this basic question. Also, sorry for bad English.

I want to make my project portable. For this I want to use Li-ion batteries in it. My project draws a max current of 4Amps at 5V ( I am using lot of LEDs). So, I wanted to use 2 2300mAh Li-ion batteries in parallel which will give me 4.6Ah. Now, I had to convert the 3.7v-4.2v from the battery into constant 5v. For this I had to use a step up buck converter. But I could not find any which could provide a max 4Amp current. The maximum I could find was 2A.

At this point I am stuck and do not know what to do. Are there any other options for converting the battery voltage into constant 5v without losing the current ? Also are there other portable power supply for projects with high current usage ?

All help is greatly appreciated.
Thank you!

Pololu.com has a whole range of boost (step-up), buck (step-down), and buck/boost (both) converters.
Buck seems have the highest efficiency (longest battery life), assuming you can put the batteries in series.
This one might do.
Leo..

Run directly from battery voltage. (if not too low for your LEDs)

I am using WS2812B LEDs. So I need a constant 5v output.

Wawa:
Pololu.com has a whole range of boost (step-up), buck (step-down), and buck/boost (both) converters.
Buck seems have the highest efficiency (longest battery life), assuming you can put the batteries in series.
This one might do.
Leo..

Thanks for your help. I have a little idea. I was hoping you could answer my question. I am thinking to use 2 step up converters and connect one to each of the batteries separately. Then I can connect their(step up modules) outputs in parallel so that I can get a maximum of 4Amps current.

Will this work? Will their be any major problems ?

Will this work?

No way.