K.L.
I am a full-time nanny and have been babysitting for over 13 years.
It is definitely fine to ask if the person is a smoker and if they are you are within your rights to decide you do not want them around your child.
Here are some questions that I would hope to be asked:
1) What experience do you have with children? Ages? Number of Children?
2) Do you have any training/certifications? CPR, First Aid, Red Cross babysitting, etc
3) Please give me the names and number of two references, preferably that you have babysat for in the past
4) Do you have any criminal background? Have you been or are you willing to be finger printed? (if this person has ever worked in a daycare they had to be fingerprinted and should be able to provide you with a copy of the results. even if you do not want to actually pay for this to be done, if they have nothing to hide there is no reason they should not be willing to do this) Also, if they will ever drive your child anywhere, get a copy of their driving record - they can get this for free from the MVA.
5) Do you have any medical conditions that could inhibit you from performing any duties required while caring for the child?
6) What do you believe is an appropriate way to handle...(give examples of situations that may come up while they are watching your child)?
7) What is the scariest thing you have had happen while caring for someone else's child?
8) What things do you like to do? (if partying is their first answer, they are probably not the right person for the job)
9) How much do you charge? Do you have a minimum number of hours? Do you have your own transportation? Do you prefer cash or check (not everyone has a bank account)?
10) What kind of activities will you do with my child?
Also, make sure you lay down the guidelines on your expectations: discipline you use, rules of the house, t.v./internet/phone restrictions for both the child and the babysitter (it is not unreasonable to request they do not use these while the child is awake). Be sure to leave emergency phone numbers (cell phones, neighbor, grandma, pediatrician, poison control), any allergies, routines/schedules.
I can go on and on and on...If you have any further questions (or if anyone else has any questions) feel free to e-mail me at ____@____.com