I used to listen to Heart quite a lot, it's my local station, but I tuned out after a couple of things I found:
1) "More Music Variety" - must be because they play different decades of music, other than that, I didn't actually hear the "variety" as the songs that they played never seemed to change; additionally they didn't put much new music onto their playout system. I found out that Capital FM played a lot more new music, but unfortunately Capital on FM is pretty weak in my area so it's a case of fire up Tunein (on the computer), fire up the DAB radio (and put up with poorer quality sound), try and get the best possible Capital FM signal, or put up with Heart,
2) Awful hacking of songs - as of 2012/2013 I noticed that quite a few songs seemed to have the ends chopped off quite regularly - why they did this, I do not know. Its very annoying when you're just getting into a song, and someone cuts it short, to try and squeeze an extra song (or two) into the hourly schedule. Some times, I found out that over a minute had been cut off, sometimes even longer (
see relevant thread). Also, most of their in-house radio edits of songs are not that great, removing every last ounce of rap to make the song as friendly as possible. A couple of examples being Black Eyed Peas - I Gotta Feeling (that song was butchered!) and Pitbull ft Neyo - Give Me Everything (they redone it so that all you heard was Ne-Yo's choruses).
3) Who's On Heart was great when it first launched but the problem was that they were still plugging away at it after 8 months, during the first season of Who's On Heart (2012). And when you've heard Who's On Heart (WOH) every day for the past few months, it gets very tedious! And that was just the first year; if my memory serves me correctly, they had a WOH 2012, WOH 2013, WOH 2014, possibly a WOH 2015 (though during 2014 and 2015, I listened to other stations) and I heard an episode of WOH 2016 whilst doing an FM Radio test on board a train. So 5 years of WOH now.
Due to the reasons above, in late 2013/early 2014, I switched to a different selection of stations: Capital FM (for the new music), Kiss FM (for new music/dance music - also for when I was outside of a Capital FM area) and Demon FM - the latter being my university's' radio station and playing a great selection of music. My only regret? I wish I'd switched to Capital/Kiss a lot sooner, as I'd have been even happier listening to nice modern pop/dance/chart music.
If you want the sort of music that heart is likely to provide, then why not give Magic or Smooth a try? If you want real old classics, try Gold. You could also try a station called Gem 106, which used to be Heart for East Midlands, and as such retains most of the Heart playlist of songs (whilst being a bit more adventurous!) whilst also feeling more local.
I used to listen to Radio 1 sometimes, but didn't think much of it, so kept with Heart/Capital/Kiss; Radio 3 is not my sort of music (and nor is Classic FM, which does similar music to R3) and Radio 4 (being a talk station) is not for me, as I like to have music on the radio.
With regards to the poor quality; the OP will be using a computer/laptop so that shouldn't be an issue.
Hope I've covered everything