Which fire emblem game should i get?

[ZeloTheGremlin]

Right so I've got a switch and I've been mucking around in smash by maining chrom and Marth. However the more I played as them the more I got curious about the FE series.
Even though I don't have byleth yet I plan to get them soon.
Soo which one should I get?
Three houses or engage?

 

[Yellow Pyoro]

I have no FE experience. Im going to guess and say Three Houses, because there are life sim elements and your profile pic is Makoto Yuki.