Lots of great advice here on the responses.
Dogs love routines, but they also like at times variety in their routines. So in the very early days, establish a routine, and after a couple months add some variety into your routine.
For the safety of your dog:
Crate train, and travel in the car or bus or taxi with your Yorkie in a crate.
A crate is very usefull when workmen come into your home. Or when you have guests that are non dog lovers.
Obedience train your dog. Dogs that obey are more likely to survive. All dogs should know and obey the basic obedience commands, of come, sit, stay, walk easy or heel, leave it/drop it, and STOP.
Train your dog as if they were going to be 170 lbs
Don't succumb to bad toy behaviour. Jumping up on folks, ignoring commands of obedience with no discipline on your part.
Non stop barking or chasing, Nipping, biting, mouthing. Growling, snarling, snapping.
Also for me, nobody picks up my dog, but his vet, trainer, or handler. If people want to pet this cutie patootie, Razzle has to have all four on the floor, and the visitor can bend down to pet him.
House break your dog, there are few things more frustrating then getting urine everywhere in your home; not to mention visiting other folks home, or travelling.
Exercise your dog intelligently
Each walk is a bit of time you have to practise obedience commands, and reward lavishly for correct work. But also to have great fun with your pup. Walk, skip, jump, run with the wee one, over the course of a shortish walk.
Don't do too much too soon, or expect too much too soon. A puppy a young puppy is like a baby. They need to learn at that pace.
Train your dog to love toys - build that toy drive. Also treats for rewards.
Keep your dog under control on the lead//leash at all times. Scan your environment for potential hazards to your pup or dog.
Health of your dog
Many books have been written about this.
Food - good quality, and not so much your dog becomes obese. Obesity is rife here in North America. Learn the signs of obesity in your dog.
Regular Vet Care is a must. Along with some benchmarks with blood work
Vaccinate appropriately and at the right intervals for your dog.
REgular exercise, some combo of training, walking, tricks, chase, for at least 30 minutes a day for an adult dog. Young puppies you only do repetitive 5-10 minute interval training.
Learn the most common health problems of Yorkies.
Learn how to recognize an emergency situation with your pups, and where the nearest emergency facilities are...Just In Case.
This all sounds so over-whelming to a new dog owner, especially a first time owner, but seek also advice from your vet.
Go slowly with your pup, protect them from peril, but don't stifle them.
Okay I have now written a mini-essay so I will sign off now