While there are alternative ways to get there, here's how I'd suggest going since this is your first time driving there and it's a fairly easy drive this way...
Take the North Exit route from the airport to State Route 528 (a toll road) going west toward Disney and Orlando.
Continue on SR 528 for about 10 miles to its end at I-4 and take I-4 West (toward Disney and Tampa).
Stay in the right lane on I-4 and take the very next exit (Exit 68), staying in the right-most lane (the I-4 portion of the trip is about 2 to 2 1/2 miles).
Turn right at the end of the exit ramp onto SR 535 and continue about a half mile to Palm Parkway.
Turn right onto Palm Parkway about another half mile to the Comfort Inn on the right.
Happy Driving!
Dick Taylor