I am looking for a good resource for a bean bag chair pattern for my 2
infant sons.  I am a newbie to sewing but would like to make these
myself.  I need a pattern preferably one that offers the chair with a
handle.  I want to know what materials I need, how much I need and
what a good filling is.

I could not find a pattern with a handle, but here are two nice pages
that give step-by-step instructions for making your own beanbag chair:

http://www.sewing.org/enthusiast/html/et_beanbag.html

http://www.hutchal.clara.net/curtains/beanbag.htm

I recommend finely shredded foam rather than polystyrene pellets for
the filling. Polystyrene pellets become compacted quickly, causing the
chair to become flat and less comfortable. Foam is puffier and softer
to begin with, and lasts longer.

Here's a good source for shredded foam:

http://www.serenityhealth.com/bean_filler.html

Hi salma, 

Just to be on the safe side, please remember that beanbags are not
considered a safe place for infants to sleep.

"Never put an infant to sleep on a waterbed, pillow, quilt, beanbag
chair or sofa. All of these surfaces pose a suffocation or entrapment
risk."

http://www.intelihealth.com/IH/ihtIH/WSIHW000/29010/29737/331779.html?d=dmtChildGuide

And now I have to say, WOW! You're taking on learning to sew while you
have TWO infant sons to look after (twins I assume?) I am impressed!
:-)

-K~