K.I.
A.,
Yes you can take the baby with you fresh air and all that.
But you can also leave the baby with him as well - it is his child and not just your responsbility.
Also, I think your sanity rules out over everything. He may not understand how important it is to you to taking the dog out fresh air and all that. He does not have to understand.
If this is important to you tell him what you are going to do and do it. He is is going to say your needs or your way is trivial etc., How are you going to handle it? Silent resentment.
You have only been married for two years and you're afraid to stand up on this issue I can image how many other issues you are pushing under the rug of future resentment.