Since it's alpha × beta, I'm assuming there's no mpreg, it's also not tagged as one. I think you're good to go.
A lot of omegaverse has no mpreg or even skips the pregnancy part and just shows the kids. Usually under omegaverse stories, comments write about that, too, so make sure to check.
I recommend Romance, But Not Romantic as a start. There's no mpreg and it's a green forest omegaverse. December is also a good choice. I'm making a list (still small though) of good omegaverse I've read and specifically write down if there's mpreg, so all the stories there that don't have mpreg in their descriptions are safe. Some mpreg also just skip to the kids and that's written, too.
https://www.mangago.me/home/mangalist/3316672/
Hope you find something to your liking there. Ask about anything if you need trigger warnings

Weird request but can someone please spoil me on if this has mpreg cause I have a pregnancy phobia (I'm sorry if that offend anyone, I would never yuck someone's yum, I can't explain why I am so freaked out by it, especially as a female) so I have never read or ventured into omegaverse due to fear of the pregnancy part. but from the comments and everyone saying how cute it is makes me so tempted to read it cause I need something fluffy.
Or should I just avoid omegaverse in general?
Also any recs welcome