wait a minute, you didn't have to pay for the dome, baptistery and museum, right? those are included in the Firenze Card! unless you're waiting to start it until tomorrow.....
duomo is 463 steps, yes, it's a workout! the dome is the highest in the city, the bell tower is shorter with only 414 steps, are you planning to do that one too?

then I think you'll need several gelatos every day
Perchè no! is a great gelateria (in via tavolini) - there are many other good ones in the area.... I like Grom (via delle oche) but it has gotten so popular it has long lines, I now skip it.... do try Mordilatte on Via dei Servi, to the north of the duomo.
On via dei Neri there is gelateria dei Neri I like.... the Festival del Gelato on via del Corso is very touristy and gaudy with the neon lights but it's actually quite good. You won't have problems with gelato around here
As for the Uffizi - it used to be mornings were good but everyone has had the same idea lately and you might find lines even then. If you do get there and find lots of people, see if you can move it around in your day and do another museum in the morning - at the Uffizi, there are less crowds at lunch and from 4pm onwards.
Enjoy the rest of the day and view from the piazzale!
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