I came to say planar, as I’ve noticed some shock and awe from that experience. HE-400SE/HE-X4 is a good way to get that taste for so little.
I do always get nervous with anyone coming into “hifi” about a lack of bass, as that is one element of consumer-level gear that is pronounced. Others disagree, but I do think that even this level of planar does well to dig at the ultra-low frequencies of electronic bass relatively well and of course can take to EQ.
The HE-400se is a fine choice for an entry-level planar-magnetic headphone.
But you’ll need more than just a DAC. Planars demand power, so you’ll need an amp. You could either go with a solid portable solution such as the iFi hip-dac 2 ($179 USD) or a desktop DAC-amp “stack,” which will give you more and cleaner power but no portability. The JDS Labs Atom+ DAC and amp can be purchased together for about $210 USD. I have used both the hip-dac and JDS Atom+ stack with the HE-400se.
One word of advice: Don’t expect bass like your Sony XM4’s from audiophile headphones. Consumer sound signatures like those used by Sony for its wireless over-ear cans are V-shaped – very bass- and treble-heavy, with little to no mids. That’s not audiophile.
The HE-400se will deliver solid bass. But it will sound light compared to your XM4’s, without question. If you’re a true basshead, there are audiophile cans that will lay on the bass but keep it from bleeding and booming into the mids like your XM4’s.
they have a decent sony. i think something like the koss starter pack, for the variety of sounds on the cheap, might be a better and more practical way. the he-400 is more of a sidegrade to the sony’s. YMMV