Reads like Choke is not being set.
On Cold engine
Tap gas pedal down 1/2 way and release it, then look at the choke plate on the top of the carb, it should be closed or almost closed.
Tapping the gas pedal releases the spring on the choke plate and allows it to close.
The spring is under(inside) a black plastic cap on the side of the carb, if the carb has been rebuilt the cap should have 3 screws holding it in place, if not then 3 rivets will be there and you will need to rebuild the carb or at least remove the carb and drill out the rivets to install the screws.
With screws installed you can now rotate the cap to close the choke plate to where it should be for cold start.
There should also be an electrical connector on the cap, this will go to the alternator.
When engine starts the alternator powers an electric heating coil in the cap, this heats up the spring, as the spring heats up it looses tension and choke plate slowly opens.
So as engine warms up so does the spring and once engine is at 190degF(operating temp) the choke plate should be fully opened.
The choke also operates a cam on the throttle plate, so when choke is closed this cam holds throttle open a little more, so higher idle, as choke plate opens cam moves and idles goes down a bit, until full warm up and base idle is used, about 750rpm.
Each time you press gas pedal down the carb's accelerator pump squirts fuel into intake, so yes you will be flooding the engine with 3 or 4 presses on gas pedal.
1 press of the gas pedal and choke plate closing should make for an easier start up.
A choke is adjusted for cold and warm weather, as temp gets colder choke plate needs to close more on startup, normally the spring will do this on it's own, as it gets colder it gets tighter, just like when it warms up it gets looser, but as they get older.........
You could add a manual choke cable inside the cab, "automatic" chokes were always problematic, many prefer manual choke.
Yes, the TFI ignition systems are getting very old now so prone to problems
Good read here on them:
http://www.therangerstation.com/tech_library/TFI_Diagnostic.shtml