i've been last week with wife in dubrovnik and we again coming in august.
it's amazing city specially old part.touristic and cultural oasis.
we are coming for years and every time we book same apartment--- enjoyindubrovnik-com(check in google) . i would to recommend you.
there are many good reasons and i will mention few of them:
-it's near old town, and on web page you can see apartment panorama
-60 m2 big comfortable apartment
-hosts are really good,kind,friendly people available 24/7 and fluent english speakers (great people)
-you can contact them by email and ask for discount
-apartment is fully equipped,(SAT,washing machine,A/C,WI-FI....)
-finally price is good and for stay 5 nights and more you have discount 10 %
-close is beach and market
-hosts will as well pick you up at airport and give you all informations you need during your stay in town
best regards to all and if you are coming this is my recommendation