First tube integrated amp

Would there be huge difference between a $1000 and $2000 or $3000 tube amp?

Used for under 1K the Primaluna PL2 is a good deal. I have had one for 3 years i bought used here and love it. Easy to use, great sound, responds to tube rolling, appears to hold its value.

But think about what speakers you will use before the amp.

I have gone through BW 602's ( now in an HT setup), Triangle Cometes ( nice sound and sold the for what i paid), and finally and the last ones i need at Reference 3A De Capos. Great dynamics and sound, works well with the Primaluna, and should work well with set amps my next move.

Rogue, Cayin, Manley, Cary all have nice tube Int Amps.

I use PSB synchrony One speakers and listen to classical music.

You might want check out Grant Fidelity. They have some Shuguang Treasure amps that look nice.

I decided to go with separates, but I checked with some professional reviewers and all like the Primaluna Prologue 2. I think they are on sale at Upscale Audio. With your budget, you could also get separates.

PMB

I use and really like Audio Space amplifiers. The AS-3i EL34 integrated lists at about $1400. There is also a larger integrated built around the KT88 tube for more money. And if you want a remote, the Galaxy 34 is a nice amp.