It certainly can be difficult to quit smoking when temptation is all around you but it is possible. Until now both of you have been able to smoke in the house and by asking your partner to change the rules of the house, could cause resentment. Your spouse has been happy with being able to smoke anywhere and now because you want to change your behavior, you're asking your partner to change as well.
Change is hard even when you want to change but if someone else is demanding you change, resistant builds up.
So the first step is how you approach your mate with your request for help. Clarify your reasons for wanting to be smoke-free. Is it for your health, for the health of your children, to save money? Once you have clarified why it is so important to you, then ask your spouse for their help in achieving your goal:
"It's really important for me to quit smoking because.....(name your most important reasons).....and I need your help. I'm not asking you to quit smoking but I'm asking if you can help me quit. I am really tempted to smoke when you smoke around me, so I'm asking if you will help me by...... "