Great to hear!

Del Fagioli gets a mention in the 2017 Michelin Guide (not starred, but getting a mention is indicative of quality). It's getting lots of attention in American and Italian blogs across the board. On one hand I'm really happy for them, and on the other, now I need to give them more than an hour's notice that we're coming They do serve a lot of authentic, old school Tuscan classics, and it's a pretty casual place. I will only point out that pesto is not a local tradition even if they do serve it, but it's summer and basil's in every market, so I'm not surprised - odds are they still made it from scratch.

Osteria del Enoteca is, as you point out, a more modern Florentine kitchen. The thing here is, they know their market is primarily tourists because of their locations. Rather than try to be old school, traditional, and appeal to the local crowd, they know who's paying the bills. They don't cut corners - it's super high quality, food and service - but they don't feel as bound to tradition, in a good way. I like that they often have a choice of beef - not just of cut, but origin/breed of cattle.

There IS real food in Florence, as you found. Lots of tourist traps, too, but it's very possible to never set foot in one.

If you are still in Florence, one more for you to try before you go: La Casalinga, Via Michelozzi 9R. This is my personal favorite place to eat in the city. It's very traditional, and very casual. House wine is serviceable. Order things in CAPS on the menu.