Haha, you're cruel...

I know they're not always practical and vary from brand to brand, unit to unit (not to mention possible need for restoration), but you might be able to find a vintage receiver on Craigslist or eBay that you like for not much money. Sure, they might not have squeaky clean performance numbers, but I dig how orthos sound out of my vintage Sansui 5000A. That's about all the headphones that work on them, though...

I have heard good things around here about the Lyr 2 as well.

So I've had these phones for about a week now and I am looking to upgrade my amp from an Objective 2. I would like to get some improvements in bass and soundstage areas. Currently I am looking at the Schiit Lyr 2, do you guys think it would satisfy me or should I look elsewhere. Budget is not really set in stone but I would rather not go over the price of the headphones themselves.

FWIW, I'm loving the HE-560 + Lyr combo.  With the grill mod you can get slightly better soundstage.  For me, the bass is perfect.  On songs and albums I know that have it, it's there in spades.  For songs and albums that are bass-heavy (relatively speaking), it's not exaggerated.  Different pads or EQ can change that, as has been noted.

Granted, I've only been using my 1983 super-cryo'd Reflectors in the Lyr, as I needed to burn them in, so I can't say how other tubes will fare, but I can't believe the general 560 sound will change that much.  I expect them to really sing with my best tubes (Siemens CCas, Telefunken E88CCs).

Another option that people love with the HE-500s is the Project Ember.  Only takes a single tube.  I think it's just slightly less than the Lyr 2, if you add the supercharger option (something like that).

HTH.

Yeah Project Ember with supercharger and Lyr 2 are my two main contenders. I also tried them without the grills on and the difference was quite amazing so I'm gonna have to regrill them when I can. It's so hard to decide though as there doesn't seem to be many who have compared both of these amps, especially people who I find credible and share the same preferences as I do.

I doubt you can go wrong with either, but hopefully you'll find some reviews soon.  If I were made of money, I'd buy the Ember, if only to review them both for you   I'd love to hear how it stacks up against the Lyr.

Just got my set in. Secondhand from a local sale...and, uh, you guys won't believe how I'm listening to them:
I asked for Focus-A, seller very nicely offered to sort that out with Hifiman by shipping his production pads back in exchange for Focus-A pads. He's been waiting a long time on the Focus-A pads now, so he said hey why don't you take the headphones first, and I'll throw in LCD 2 gen 1 pads (they're very stiff and shallow, completely unlike the ones I have on my Mad Dog).
They don't actually fit on the HE-560, instead they're just sitting atop the drivers and held in place by clamping force. I kid you not. It's extremely rudimentary, but it works.

So, FWIW, my initial impressions using slapped-on Audeze (old) pads, out of Vali > Uberfrost: ya, very nice soundstage, natural tone to all instruments, only a touch bright sometimes. Pretty confident the Focus-A pads will fix that brightness.

I think this pair has a bit of channel imalance (L > R). Can't be bothered to ask the seller to send them back, so I'm just using EQ to drop Left by a few dB.