• Apply for Home state NIT first through Home state quota.
• Do apply for GFIT and government colleges
• Fill your counselling details very carefully
• Before Applying for any college do check previous year cut off list and closing rank of that NIT's and IIIT's and GFTI's
• Use Carrer 360 app to compare colleges, their ranking and check their reviews.

Hi Dear, your chances are less to get the seat in NIts but in Home state quota you will get the seat in NIT.

for more information check it out previous years cutoffs rankings of college:
https://engineering.careers360.com/articles/jee-main-cutoff

also, you can try college predictor for suitable colleges:
https://engineering.careers360.com/jee-main-college-predictor

good luck