FiiO make great-sounding products, but rather than carry a standalone music player, one might consider the FiiO BTR3 Bluetooth amp that lets you listen to music off your phone at high quality. I wouldn’t be surprised if the two FiiO devices shared the same DAC.
Yes indeed, they make great sounding products for the price. I have bought and recommended some of their DACs.
SMSL is another company like that, I highly recommend their class-D amplifiers - especially the ones based on ST[microelectronics] chips. The SA-50 (ST) sounds better than the SA-60 (TI) - I have both.
The FiiO BTR3 advertises itself (a logo on the back of the device) as supporting hi-res Bluetooth audio, so one simply needs a phone that supports the same.