Children thrive most in environments where the feel really secure, can explore at their own pace, following their interests and have an adult to talk to them lots about what they are doing.
At nursery there may not be tv but there will be much less one to one adult interaction and the routine and needs of others will take priority for a good portion of the day.
The wide and varied life experiences they get at home, gardening, shopping, going for walks, mending things, cooking, are all really valuable experiences and doing them with a person who loves them and is enjoying helping them find out about the world makes them fantastic learning experiences.
Of course nurseries try to replicate those experiences but it's not as easy to be flexible and follow the really engaged child when you've got three others to look after too.
The home option seems to have the best of both worlds to me. Plenty of time with other children to learn those social skills plus lots of time with a loving adult in a safe, secure and flexible environment.
Perhaps some time in pre-school or nursery for 6 mths to a year before starting school would be a good idea because the ratios in early years settings are kinder when they are having to learn to be part of a group and be more resilient and independent. I'm sure that makes the transition to school easier but, for now, home is probably better.