agree with putting the lighter color down first, (I would stay AWAY from the 'trim solvent', it can be OK but unless applied with GREAT care it can make the colors bleed at the seams)
I've had very good luck with the 'windex' method, and do use a low heat setting when applying trim over covering.
(FWIW, the EASIEST way of course is to use covering that's already got stripes on it... bad news, the only colors I can find is red / white.)
'my' version of the windex method is a bit different:
first use alcohol to clean the area where the trim will be applied
then I apply the windex to the back side of the trim (NON sticky back type) and 'float' the trim into position.
then I squeegee out the windex using a credit card or similar (and paper towels) till it's dry, then using a very low heat setting I seal the trim in place.
(use only enough heat to get the trim to stick... using too much heat will cause bubbles... if you get a bad bubble, try and poke a hole with a pin through the trim only)

there's no replacement for patience.

your mileage may vary, but I've had great success with this method