It is a really good idea to stay in contact and stay friends.

OP is in a slightly different position since they’re the one who got laid off. They feel uncomfortable reaching out and might feel that way until they move on to the next stage of their career. By reversing roles, you can see how much they would like their former coworkers to reach out socially.

You reach the point in your career where submitting a resume for a job isn’t how it’s done. It’s networking - people who know you and whom you know - that land the position. It’s because resumes and CVs are only useful for people who have no direct experience of who you are and how you work. A piece of paper can’t begin to cover the amount of information that personal knowledge entails.