Which integrated amp for better musicality - Parasound Hint vs Primaluna vs ???

I have not heard the Naim. The McIntosh integrateds will have the typical "Mac" sound. The McIntosh will have slightly mild/laid-back midrange and midbass. The sound is excellent, don't get me wrong, but it is not a resolution monster like your Anthem. I think the Primaluna will have more resolution and attack/detail than the McIntosh, but it will not have the power. The McIntosh is not nearly as warm as the Parasound, but not as fast/detailed as the Anthem/Primaluna.
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In a comparison, the Parasound will have excellent "slam" in the midbass and midrange, but it will have rolled-off highs. The McIntosh will have pretty good resolution in the highs, but slightly rolled off midrange (best I can describe it). Both will have good bass authority.

Interesting, thanks @auxinput I only heard the MA8900 in the store once with a pair of Sonus Fabers and it was excellent but almost a bit bright. Could have been anything from the room setup to the speakers though. I was impressed but not exactly wow'd if that makes sense. 

I'm not worried about power. My speaker specs are here (http://www.ascendacoustics.com/pages/products/speakers/SRT/srtspecs.html) but I also do not play at extreme volumes. I'm not worried about power output from the Primaluna or the McIntosh. I think they would power my speakers fine there. 

Agreed. Your speakers are not that "inefficient". The Primaluna will start to saturate and fall down around 15-25 watts (depending on tube choice and mode). If you want to turn it up and "rock out' to loud and/or bass heavy music, be aware that you'll want something that will push 40-80 watts CLEAN.
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I totally get your impression of "McIntosh" because it's the same as mine. It's nice, but too laid back for me. They did sound very excellent with Sonus Faber speakers, but I would definitely want something more. Listening to McIntosh amp with McIntosh speakers, it was so boring I was like "snooze".

Oh, somebody earlier recommended PSVANE tubes.  I will also second that recommendation if you want to upgrade your preamp tubes if you get a Primaluna (or similar).  I just helped a friend upgrade his JJ 12au7 tubes to PSVANE.  The JJ were okay, but the PSVANE just had so much more resolution and detail -- and they really "sang".  Overall, excellent upgrade!!  This was the second time I have heard PSVANE "preamp tubes".  I suspect the PSVANE amp tubes will have similar results.  They are definitely expensive, but not as expensive as other boutique or NOS tubes.

helomech
I have listened to all three Rogue integrateds at length. Why can't you respect another individuals opinion? I don't own a fully tubed integrated because I don't want one for my own personal reasons. I have listened to many tubed amps over 50 years. More than you know.