I (28m) just started cold approaching (actively) a month ago as I've given up on dating apps.

I've been talking to about 1 woman a day. Hoping to do more.

Oftentimes when cold approaching I find myself running out of things to say or things get awkward and then I just get out with a "have a nice day bye" how do you guys stay in the interaction longer?

I especially have problem approaching very attractive women. I don't know if it's because they get approached alot but they seem to be very uninterested right off the bat. They would roll their eyes, look away, act like I'm annoying her. I do think part of the reason is from me since I'm usually a bit more nervous approaching them so I sometimes stutter or talk quickly. Is just approaching more attractive women, desensitization, the way to go to overcome this?

Any advice? thanks