cold starting problems

[Cjanik]

Hey guys, first post here, i just purchased a 87 turbo supra.
the car runs better than my 2001 honda prelude SH did.

Im having a problem w/ starting. i'll have the engine turning over for ~5-8 seconds before it starts up.

ive looked through this site and have to say, wow, extreamly informational. however i wasnt able to find a solution to my problems. nothing seems to fit.

i ruled out spark plugs and injectors because my car idles and runs like a dream. i concluded if it were either of those two, then i'd feel the engine vibrate a little from misfires.

the other thing is, after having a hard time getting the car started, and when it warms up, i can shut off the car, wait 10-30 minutes, then start the car back up, and it starts on the very first click.

i consider myself mechanically inclined but when it comes to older cars and starting, im totaly clueless. Im asking here to see what i should be looking into, starting with the most likely solution to the least likely.

thanks in advance!