Anecdotal, not professional: I currently have both. Bermuda in the front (thanks, HOA) and Zoysia that I just laid down in the back last year. I hate Bermuda. Where I want it to grow, it’s thin and stringy. Where I don’t want it to grow, it invades. It browns way too easily. I had it professionally treated for the last few years but finally said screw it, I’ll do it myself. It’s looking better but not great.
The Zoysia I put out back, same soil, looks like green carpet. It grows tight and deep green. The dogs already burnt a spot or two, but if I block it off, it grows back pretty quickly. There are lots of varieties, and I don’t know what you have available locally. I have some shady areas, so I went with Palisades, and it was a little hard to get. I would call around the local sod places, and get their opinion and availability. Good luck!