Hi and welcome! I'm so glad you're taking this so seriously and asking questions.
As for travel - these days there are so many options! You could either do a pet sitter in your home -or- go to Rover.com or similar and find someone in your area who will board your kiddo right in their own home.
As far as full days away, it really depends on the age of the puppy. If you can free feed and leave water, the pup will be okay as long as it has access to a potty pad (I'd recommend an Iris Pen vs a crate; or keep the pup in a bathroom or laundry room).
You may find this thread helpful too:
http://www.yorkietalk.com/forums/gen...ent-guide.html