Everything freezes fine, just a matter of how it’s packaged and how long it’s frozen. Only thing you’re sacrificing is quality of texture and flavor over long extended periods—if frozen properly, food is safe to eat indefinitely (whether previously frozen and then thawed food is enjoyable to eat is another story).
Freeze the meats in small quantities that are easily consumable within a couple of days. Absolutely do not freeze and then thaw and refreeze larger chunks of anything—if something previously frozen is thawed and is past its sell-by date, it’s usually safe to eat for only a day or so.
Also if you’re running into the issue of having too much bulk meat—stop acquiring more bulk meat. Influencers love to sell the idea of DIY bulk food prep but most of the time that doesn’t make sense for people, for a multitude of reasons.