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Beyoğlu is a very large neighborhood. Firuzağa is a district in Beyoğlu, Taksim too, and many others..

I don't know what you need and what you can afford but, there is the Talimhane Region, very near to Taksim, where there are lots of 3-4-5 star hotels and comperatively safer.

There are also smaller boutique hotels, aparts all around Beyoğlu, in Taxim, Cihangir, Galata, etc..

Desirable by empires throughout the generations, straddling Europe and Asia, Istanbul is one of the world's great metropolises an you are able to begin to find with Hotelbye . The town was basically called Istanbul after the founding of the Turkish Republic and is liberally scattered with fantastic remnants of their extended and illustrious history, and the sightseeing here will impress even the absolute most monument-weary visitor. The mosque Sultan Ahmet, also referred to as the Blue Mosque isone of the thing should see in Istanbul. Blue Mosque was created between 1609 and 1616 and it triggered a furore through the Muslim earth when it was finished since it had six minarets. The mosque gets its nickname from its inside decoration of thousands of İznik tiles. The whole spatial and color effectation of the inner produce the mosque one of the best achievements of Ottoman structure and a spot worth visit.

I Think you would be best staying in Beyoglu,it has lots to offer including shops restaurant and bars,But don't want to put you off but when I was visiting there with my husband who is turkish I had my purse and credit cards stolen,and that was when I was walking around Beyoglu,so do be careful if you stay there or visit there.

Regards

Jennie