To Firenze card or not

If it were me, especially with the June crowds, I'd definitely go with the card for flexibility and aggregate time-savings' in accessing all the sites you want to see. Economically it may be a couple extra dollars, er, euros. But there's a certain 'sunk cost' element when traveling... pay the freight and be glad you're not in those wrap-around lines at the Uffizi, Accademia, et al.

That's what I was thinking as well. I like the flexibility it gives aside from the 72 hours but it sounds as though it won't be a problem with fitting it in the 72 hours. We are going to take either the Tuesday or Friday for a Tuscany wine tour so that we have the 72 hours without an out of town tour. Thanks for the advice!

So you have these five on your list:

Accademia
Uffizi
Duomo complex
Galileo Museum
Bargello

With 4 full days I think you have time for more without running yourself ragged. We managed the Duomo, baptistry, the entire Pitti complex, Bargello, Santa Croce, Uffizi, Accademia, Medici Chapels (skip that), San Lorenzo, Santa Trinita, San Marco, Santa Felicita, Basilica di Santa Maria del Santo Spirito, Loggia Dei Lanzi and Basilica Della Santissima Annunziata during a four-day stretch, with Ponte Vecchio, San Miniato + cemetery and Piazzale Michelangelo thrown in over a partial 5th.

Still had time to cruise the San Lorenzo market and an unexpected gelato fest (yum) and enjoy daily coffee and adult beverages! I don't suggest that you try and do ALL of this but with the pass in hand, you'd be able to slip in, say, Santa Maria Novella, San Marco (wonderful: highly recommend), San Lorenzo and/or a few others which are covered if you found that your 5 didn't take up as much time as you'd thought.

Let's just say that I don't think you'll have any trouble more than breaking even on it. :O)

Just to note: do be aware that you must make reservations to climb the dome, even with the Firenze Card.

Okay! Here I go again! I need to create a "canned" Firenze card response that I can just insert with 1-2 clicks.
I have used Firenze card with my family and really liked it. Here are some tips; 1). You can just buy firenze card upon arrival in Florence at Palazzo Vecchio in the center of Florence. 2). Minors under age 18 get added to parents' cards at no extra charge. 3). Use RS guidebook to look up both times and locations of the many included attractions. Make yourself a sightseeing itinerary to maximize your card. 4) Activate your card at first site around 10-11 am. Why? The card is for 72 hours. That way on day #4, you can enter one last attraction before 10 am. 5). Take your Firenze card to the Duomo ticket office "biglietteria." (Just north of Baptistery.). Obtain your Duomo combo. ticket at no extra charge. Activate your duomo ticket by going to at least one duomo site on your last full day of Florence card. Then, you can use your Duomo ticket the next day to see all the other Duomo sites after your Florence card expires.
I hope this helps. Please feel free to ask more questions. WHEW!

Thank you SO MUCH for all of the great suggestions. i am looking forward to our visit. We have been watching the Rick Steves' YouTube videos on the locations that we will visit in our close to 3 week visit. Grazie!

Sun-baked-in-Florida, what a terrific suggestion regarding using the Duomo tickets to extend beyond the 72 hours of the Firenze card! Very clever.