2003 Chevy Tahoe FUEL PUMP

For the last 2 months when starting my Tahoe it will act like it is going to die out and will do this until it is warmed up. It also makes a funny sound a loud high pitched sound when I put in in reverse I can feel it through the gas pedal I have had the transmission tested and it is not it. I was wondering if it sound like a fuel pump problem since I am a female sometimes I am hesitant to go to a shop.