Car takes many tries before starting

I took it to a shop the other day & they changed the starter so $354 later the car still has the same problem. I just ordered a neutral safety switch & the guy is going to install it free of charge hopefully that fixes it. Right now when the car does not start I can move the shifter back & forth & 7 out of 10 times it will start. If you have any ideas or thoughts let me know. Thank you.

Hello, first of all, I'm sorry to hear the shop misdiagnosed the issue. I'm not a fan of guessing when it comes to diagnosing and that's possibly what's going on here. A proper diagnosis would uncover exactly what the issue is unless it's a very infrequent occurrence, which it doesn't sound like this is. The neutral safety switch could definitely cause this issue, but so can the ignition switch and the wiring that connects all these parts. Without seeing and diagnosing the issue we are all guessing, which will get very expensive if you guess wrong again. So, the best course is to have a mechanic fault-trace the starting system and identify exactly why electricity is not getting to the starter motor. It sounds like you're already having the shop replace the neutral-safety switch, so be sure they adjust it properly (did they check that the current one is adjusted?) and if that doesn't fix it, let me know and I'll find you a mechanic that will diagnose and fix the problem. Good luck