We stayed for 4 nights and couldn’t recommend Tine’s apartment strongly enough.
The place was immaculate and Tine was really helpful with tips for restaurants and other amenities nearby. The apartment is located outside of the main city but you can see the old centre from the front balcony (an amazing view particularly after dark) and it is a very pleasant 20 minute walk into town. Alternatively there is a tram stop just down the road which will get you there in about 5 mins.
For entertainment in the evenings (other than the lights of the old city centre) Dok Noord is about a 5 minute walk north of the apartment and has some really cool stuff including O’Learys which is essentially a massive sports bar with a restaurant, ten pin bowling, mini-golf, pool tables and arcade games all included.
One issue to consider if you decide to drive is that of parking. Tine’s apartment has a very secure underground car parking space but it is quite tight so if you have a smaller car (hatchback etc) I’d recommend taking that over something bigger. We have a Seat Leon and got in and out without much issue.
All of the main attractions in the old centre have entrance fees so definitely buy one of the City Cards that you’ll read about online. We regret not getting one. Also, if you decide you want to eat in the Turkish sector just around the corner from Tine’s apartment, which I would 100% recommend, be aware that they generally don’t accept Visa so ensure you have cash on you. Will save you hassle on the night!