fussy at nap or bed time

Is it normal for babies to get fussy at nap time or bed time? I can tell a difference when he is over tired because he screams and crys and gets all worked up but I layed him down early this time avoid it from happen and he is like whining and fussing not loud and than he will stop and start again. He is defiantly sleepy his eyes are closing but than will randomly start fussing I normally like bounce him to sleep but I'm trying to break that habit. Just curious what all of you people do to get your babies down for a nap and how they react.