Depends on your kit. I use a Cambridge Audio streamer CXN, this permits Tidal to be played via Chromecast. It really is excellent. When I play tracks via Amazon Music HD they sound awful, but this is being connected via Airplay and not Chromecast. I suggest this is killing the quality compared to my TIdal setup.
however, my streamer will not play Tidal Masters ( Shame on you Cambridge Audio), and it costs more. Amazon has a lower cost, as a primer member, and on paper has a higher bit rate for non UltraHD tracks, but it just sounds awful over AirPlay.
In a nutshell you equipment and broadcast technology make a major impact on choosing between TidL and Amazon. Tidal and Chromecast are brilliant in my CNX, but on a PC you can also get Tidal masters. Hope this helps. The solution is to take the trial offers and see how they implement on YOUR system.