When I was a kid, the Tom Baker series was on PBS now and then, but it seemed really slow to me back then compared to the Star Trek, Star Wars and other Sci Fi that I was into at the time, and I could never develop the patience to watch a full episode.
With the reboot in 2005, I REALLY loved David Tennant as the Dr., and later Matt Smith too. I also got into the Sarah Jane Chronicles and loved that series as well. Sad that Elizabeth Sladen got sick and passed away. She was a wonderful actress.
Peter Capaldi is different from the two previous incarnations of the Dr. that I mentioned above. At first he was too different, but he's been growing on me, and I quite like him now. I'm also a bit sweet on Clara.
Overall, I do not find the delays in the seasons a bother, because I stream everything, and I'm a bit behind anyway on purpose, so I'm not actually watching in realtime. I prefer to wait for a season to end, and then stream all the episodes of that season back-to-back over a 1-2 week period rather than wait for a week's delay between episodes.
Here in the USA, some shows have a months long intermission in the middle of a season, and it just kills me when they do this, for when they start the episodes again, the story continuity is completely destroyed for me because too much time has passed, and I have to go back and watch the previous one or two episodes before the new one, otherwise the story arc is too disconnected.
Maybe I'm getting old

ld:, but marathon-watching is much more satisfying to me than the weekly or months-long interruptions.