Running a DAC between my 4k TV and my analogue stereo hi-fi amp

Not sure if I've put this post in the right category, but here goes.
I have the same problem as lots of other folk - new telly, old amp; no 'RCA out' on the telly, no 'digital in' on the amp. I understand that I will need a digital-to-analogue converter which will take the audio from my Sony 4k TV to my Yamaha A-S500 amp and make it sound good into the bargain. I have a great hi-fi system and don't see the point in buying a soundbar, but although my system works perfectly it is an analogue kit.
I am of an age where my best hearing days are well behind me, so I neither want nor (presumably) need to spend a small fortune on a piece of kit I won't be able to appreciate. However, I am utterly bamboozled by the choice of DACs on Amazon, and don't know which to go for. Can anyone who's been in a similar situation offer any advice, please?
Thanks.
I have the same problem as lots of other folk - new telly, old amp; no 'RCA out' on the telly, no 'digital in' on the amp. I understand that I will need a digital-to-analogue converter which will take the audio from my Sony 4k TV to my Yamaha A-S500 amp and make it sound good into the bargain. I have a great hi-fi system and don't see the point in buying a soundbar, but although my system works perfectly it is an analogue kit.
I am of an age where my best hearing days are well behind me, so I neither want nor (presumably) need to spend a small fortune on a piece of kit I won't be able to appreciate. However, I am utterly bamboozled by the choice of DACs on Amazon, and don't know which to go for. Can anyone who's been in a similar situation offer any advice, please?
Thanks.

I'm surprised it hasn't got an RCA out. That's what I use to connect my tv to an amp and four speakers. The sound is like night and day compared to the paltry speaker built in to the tv.
I can't help unfortunately regarding your question about DAC's. But, just a thought. I'm presuming your tv has plenty of HDMI ports. Is there such a thing as an HDMI to RCA cable???? Might be worth exploring.
I can't help unfortunately regarding your question about DAC's. But, just a thought. I'm presuming your tv has plenty of HDMI ports. Is there such a thing as an HDMI to RCA cable???? Might be worth exploring.

This might help https://www.youtube.com/watch?v=_dec62XWaug

Thanks Justin and Malc - both very helpful. In response to Justin, yes, there is such a thing as an HDMI to RCA cable but I think you would still need some kind of digital-to-analogue converter to make it work - happy to be corrected on that. Malc, the video was very interesting, and very much simplifies things - in the sense that you don't need to spend a lot of loot to get the tool for the job.
Thanks again.
Bob
Thanks again.
Bob