My furnace come on and then starts to blow out cold air

Need more information. Brand, age etc... Do the burners light?

I have a carrier furnace and it is 10 years old some times it light up and come on and then cut off and starts to blow out cold air should I call for service or is there something I can fix myself.

It could be a pressure switch, or a main limit Click here (https://www.askmehelpdesk.com/heating-air-conditioning/heating-cooling-maintenance-repair-troubleshooting-frequently-asked-questions-58313.html#post268203) for more info, sorry I'm still working on these posts. Hope this helps though.