I’m having a hard time sharing the news about being engaged?

I’m shy, well sorta. I’m not a shy person, but when there’s a big life change in my life (good or bad), I tend to not tell anyone until weeks or months or whenever it comes up later down the line. Im not a big social media person (neither is my fiancé) so I didn’t announce my engagement over IG, FB, etc. I have never heard of anyone besides myself being so anxious about telling people I’m engaged. My fiancé understands my shyness, so he knows I’m taking it one step at a time but his mom’s side of the family still doesn’t know we are engaged. It’s been like about three months going on four. My parents and his dad’s side knows about it, but I waited like a whole month before I said anything to any of them because I’m just weird about it. There is no family drama on either side about me and him being together. We have been together for 4 years, are already living together, and are super happy to get married in 2024. I just think it’s an awkward thing to bring up in typical conversation. I just don’t know how to insert it. Whenever I think about telling anyone I’m like super nervous and end up backing out of mentioning anything. I can say it was easier to tell my coworkers and some of my friends. I still was super weird about it. Am I like crazy? And do you have any advice how I can work past my anxiety? I have a feeling it won’t be the only thing I’m anxious about.