For grooming, I'd suggest brushing regularly (teeth and hair), and keeping nails trimmed. For training, positive reinforcement is best and clicker-training can be awesome. Have you read the training stickies yet? Training and Behavior Stickies
For good health, a good quality food and regular vet visits.
If you have any specific questions, such as "how do I teach sit", we could give more specific answers.
For teeth brushing, you can buy dog tooth brushes and toothpaste at pet stores. Don't use human toothpaste for a dog, it isn't good for them. You can also use your finger to brush their teeth, just have to find some dog toothpaste.
He started to sit on his own instinctively so I just said sit and gave him a treat. Also I always told him sit before I gave him his food. Sometimes I rub food through the grass and tell him search to sniff it out.
He comes if I call his name so I give him a treat.