Yup, cheap sensors will cause this issue. I had it using BWD from Orileys. They don't make Mopar TPS for my 96 any more so I have to go with a good 3rd party brand. Ended up settling with Autozone's renamed TPS. Their Duralast TPS318 is actually a Wells TPS318. It seems to work good for now.
Also shuttering in 1st gear or between 1st and 2nd is caused by a clogged or failing Governor Pressure Transducer and/or sensor. They are common issues in these transmissions. My old one was just clogged but I took advantage of having them out and just replaced them anyway.
Something else that helped with my transmission woes is to make sure that the shift linkage is adjusted properly. The "dealership" that my niece bought my truck from had tampered with it to make the orange piece in the dash show up where it's supposed to. So when it was in "Park" it was actually between Park and reverse.
Now off topic about "my niece bought my truck" part. lol
Funny story, I had wrecked my 98 F150 when my niece bought this 2nd gen I have now. I warned her they don't get good MPG at all. She said she wanted it anyway. A year later she said the MPG was way too bad for her to drive it and sold it to me.