I think as emerald said maybe running too lean... but is this normal in cold temperatures?
Yes.
Bikes these days are delivered right on the extreme limit of leanness - in July!
Come November, the cold dense oxygen-rich air can alter your mixture by almost one full jet size.
This will manifest itself by exactly the symptoms you describe.
I'm sure 9 out of 10 Ninja250s are gonna behave like this too (if you can get 'em started, heheh...)
Time to put a little more oil on the K&N?
Note: this leanness problem is made worse by 'performance' modifications, ie. replacement mufflers and/or airbox mods.
Lot of people change pipes (in July) and say "there, see? Runs fine - I don't need rejetting."
But come November, it seems their bike is actually running much leaner than they had considered...
Also, check your intake boots (the short rubber tubes that attach your carbs to the motor) and your whole airbox system for air leaks.
Leaks will induce leanness.
Gently snug up those clamps on the intake boots - especially if your ride is more than a coupla years old.
Very cold weather is an excellent time to run lean, as overheating will be mitigated!
So basically don't worry :^)
Just keep your hands warm (before it becomes a safety issue),
Regards