My favorite integrated amp is the Synthesis A40 (pushpull tube amp using KT66 tube). It comes with a very good built in DAC. This is a warm sounding amp with a very lively, punchy sound. However, the chassis is on the large side (a good thing, in terms of dissipating heat). Input selection and volume can be done by remote control. Audio Note makes good sounding integrated amps too, like the Oto (pushpull EL84) and the Soro (pushpull 6L6).
I am not as big a fan of solid state amps because most sound flat and lifeless when played at the same volume level as a tube amp; they must be played louder to come alive. Still, most are otherwise quite decent. For modestly powd solid state, the Sugden suggestion, above, is quite good, and I would add Lavardin.