When I was starting out with a high end system back in the 1981, I purchased the Dynavector 10X3, an Ultracraft tone-arm and a VPI 19 (since upgraded to a IV version and used for 78 rpm records). Sure, my current turntable/arm/cartridge system is $16K, but the old system is still very musical. I suggest looking for a good condition, used high end table, same for arm and a matching cartridge for that arm (compliance-wise). A Denon 103 makes an inexpensive but great sounding cartridge to start with on a good used tonearm (or maybe a Rega 3 if compliance is correct). You should spend about $1000 total to get a set-up to at least meet the CD quality sound and in some ways better it. Analog is just more cumbersome than digital. I love both, mostly based on mastering of the recording. Look for a higher end used deck or stick with the Project.
Get a better cartridge for sure. I've used that deck for 2 friends who inherited their father's large record collections but didn't want to spend much on turntable/arms. After using my recommendations for a better cartridge, they thanked me for the great sound at a bargain price (one got the Ortofon mm Blue, the other a Dynavector 10X5)