Brand new to vinyl: Help!


I am brand new to vinyl, but quite established in digital (CDs, lossless streaming, etc.).

I made the first foray to vinyl by purchasing an entry level turntable - Pro-Ject Debut Carbon DC Esprit.

I am using an Ayre pre-amp with phono stage and also Ayre amp.

While I am happy I have it up and running, I don’t think it sounds as good as my digital setup (Directstream DAC).

So what can I do to improve, short of buying a much more expensive turntable?

Things in my mind:

1 - Since it accepts DC power, buy a linear power supply

2 - Since my Phone stage on my preamp only accepts XLR three-pin connector, I bought a male RCA to male XLR cable from Amazon, less than $20. Do I need a better interconnect?

3 - Upgrade the cartridge (it comes with Ortfofon Red something)

Thanks!
128x128thyname
While I agree that cables typically give you the least bang for the buck, the stock cable on the Pro-Ject was especially bad. Replacing it with the Audio Sensibility cable, at about $125 USD, really brought my vinyl playback to life. The stock cable really sucked....... 
@thyname - Also insure that you have a few really good sounding records to judge the sound quality of the TT when comparing it to your much more expensive digital rig. Make it a fair fight.....

Some records are simply outstanding, some are good and some are bad. Just like digital.....
+1 reubent.

I would suggest picking a recording that you are very familiar with, research what is the best available pressing of that particular recording and buy a new copy of that to use for your "reference" piece. 

Pretty much everything ever made is avail here:

https://www.discogs.com

And you can source what is "best" here:

http://forums.stevehoffman.tv

Good luck!

P