Titanius
It should be fine,as long as you're keeping him in a spot for a nice amount of time and not hectically moving him from place to place every few min at random through several areas of the house,which in that case would cause stress unless he/she's outside the cage with you.
But if its only back and forth with you keeping him there for a while(unless there's a pressing need to move him back sooner than expected),it should be ok
Pet Birds & Safe WoodsKeet KornerOther Links:
http://ezinearticles.com/?cat=Pets:Birds
http://www.birdcagestand.net
http://www.birdguys.com/pet-bird-articles.html
http://www.ehow.com/videos-on_1422_caring-parakeets.html