Car almost stalls after start.

hansoac

Well, I am up to 9,700 miles on my 09' Z and am experiencing an issue that has me a bit worried. After the car sits for awhile (I can't say exactly how long because I am trying to start after it has been sitting overnight), when I press the start button, the car has no problem turning over, but once it does it starts to stumble for a few seconds and almost stalls out. The RPM's stay below one at this time..but after a few seconds the RPMS bump up to where they should be and it starts to idle no problem. I also feel like the car's throttle response just isn't what it should be. The pedal feels very heavy compared to my 350 and I know it should be more re-active than what it is. I am wondering if maybe it is a filter or injectors? However, I am not an expert when it comes to cars and am turning to you gurus for some advice! Thanks in advance.