With that internet access I think any 'n' (or, of course, 'ac') router should be satisfactory.
The question is why your current router isn't working satisfactorily with the Fire TV stick. I think that 4 or 6 Mbps is plenty for High Definition movies. The D-Link router may need replacement or you may be getting a weak signal or interference where you are using the stick. If you want to pursue that possibility, when you are having a problem connecting or it complains about slowness use a Windows computer at the same location and ...
Please attach a screen shot of the Networks page (don't collapse the Radar, Connection or Signal History) of the Xirrus Wi-Fi Inspector. If you need help with a screen shot see TSG Posting a Screenshot. FWIW to take screen shots with Windows Vista or latter I prefer to use the built-in Snipping Tool.
Let it run for a minute before taking the screen shot so we can see some signal history.
The question is why your current router isn't working satisfactorily with the Fire TV stick. I think that 4 or 6 Mbps is plenty for High Definition movies. The D-Link router may need replacement or you may be getting a weak signal or interference where you are using the stick. If you want to pursue that possibility, when you are having a problem connecting or it complains about slowness use a Windows computer at the same location and ...
Please attach a screen shot of the Networks page (don't collapse the Radar, Connection or Signal History) of the Xirrus Wi-Fi Inspector. If you need help with a screen shot see TSG Posting a Screenshot. FWIW to take screen shots with Windows Vista or latter I prefer to use the built-in Snipping Tool.
Let it run for a minute before taking the screen shot so we can see some signal history.