People are getting upset as your OP reads as you wanting the state to fund you not working when you're not otherwise entitled to extra support, purely because your partner works away. This aside, cutting through everything the important points are:
You sit down together and work out your expenses, which presumably you have already done before you had a baby, but it probably needs updating.
You can apply for UC as a couple. Depending on his income you may be entitled to some but it sounds very unlikely. You won't be entitled to housing benefit as you own, not rent.
You work out your incomings/outgoings, including child benefit and free nursery hours etc. If you can live off this total (his wages) you can stay at home for a while, if this is what you want. If you can't, you go back to work and your baby goes to nursery.
Either way, he gets his wages paid into your joint account or sets up standing orders to cover mortgage, bills, 'housekeeping', money for you to live on so he's not in a position of having to 'send you' money when he's deployed.