Public presentation training (public speeches, presentations, etc) will help enormously with every day social awkwardness, especially if you do it regularly and in varying ways (don't do the same thing, same speech, to the same people over and over again; if you do the same thing over and over again, you may just be training a sort of fake social muscle memory).

It's quite rare that you can conquer a public crowd but you can't deal with mundane every day social situations (I'm sure there are exceptions, it's just a rare combination).

The memorized speech part isn't ideal over time though. To get started that's fine, however it should be a written speech and intentionally improvized after a few experiences with doing it; and then it should be entirely improvized (and a bit shorter) occasionally as well.

I was in toastmasters for several years and it cured my shyness. People now compliment me on my ability to tell stories for instance. It's effected a noticeable change.

It really does. It's regular practice with supportive people.

And it's structured, so if you are shy about sudden surprise situations, it can be comforting to know what is expected.

It's not a panacea, but it's easy to get started, accessible and designed to help you be more comfortable talking.

Try it, if you want to talk to people more.