Hi! Welcome to the forest! We're glad you joined us too and we hope you'll enjoy your stay! I've already played all Fire Emblem games, so I can help you about the specific order to be played.
I would recommend playing Fire Emblem: New Mystery of the Emblem (FE12) also known as "Fire Emblem: Heroes of Light and Shadow" after playing Fire Emblem: Shadow Dragon (FE11), because New Mystery of The Emblem is the sequel of Shadow Dragon, so you'll catch up with the main story very nicely, play Fire Emblem: Path of Radiance (FE9) before playing Fire Emblem: Radiant Dawn (FE10) for better understanding of the main story and also I would recommend to play Fire Emblem: The Blazing Blade (FE7) before Fire Emblem: The Binding blade (FE6) for better understanding of the main story and the characters.
In case of Fire Emblem: Genealogy of the Holy War (FE4) and Fire Emblem: Thracia 776 (FE5) is somewhat tricky, because Fire Emblem Thracia is set between Chapter 5 to Chapter 8 of the second generation storyline of Fire Emblem: Genealogy of the Holy War, so I'll recommend playing the first generation storyline of FE4 first before playing FE5 and then you can play the second generation of FE4 and then switch between the two. This isn't necessary, but it will help you to understand more about the entire story of FE4. If you don't want to do that (I know, because is very tricky), then you can just complete the first generation of FE4 and after that, play FE5 entirely and then you can play the entire second generation of FE4. For my experience, I did the second method that I've mentioned before, so it will not be that tricky to understand the story, but you must remember what is happening during that timeline and the connections between Thracia 776 and Genealogy of the Holy War second generation timeline. Other than those games, there aren't a specific order to be played.
Phew! That's quite an explanation here. I hope you understand all of that 😅.