In the words of Jesus: "Let the little children come to me"
Bring your baby to mass.
Carry your baby up with you when you go to Holy Communion.
(staying away from mass because you are looking after the baby is not a sin - it's explicitly stated to be a valid reason - , so you don't need to confess)
In many parishes the priest or Deacon will give your baby a blessing. (however this is somewhat controversial - lets not start an argument about that point on here)
If you breastfeed your baby this can be a useful way of keeping her quiet if she becomes upset in mass... But make sure you keep covered up.
My wife has an open weave poncho she uses for this purpose, combined with properly designed breastfeeding tops.
If you Bottle feed... bring a fresh, warm bottle made up and warmed as close to immediately before mass as possible (or even in the parish kitchen after you arrive if you have access). Keep it in an insulated bag. Discard it if you don't use it within the appropriate time limit.
My wife and I like to sit with easy access to a side Isle, but in the front 3rd of the church. being by the side isle we can discretely nip to the hall at the back of the church if we need to.
We have a 4 month old and a 2 year old.
In terms of other issues: if your Husband is away a lot there may be specific women or family ministries at your parish that can help lend you some support: Spiritual, social, and practical.
The most obvious examples I can think of would be
the Womens Circle run by the Opus Dei
The Dames of St. Colombus (female equivalent of the Knights)
Couples For Christ (A charismatic family based community)
the National Association of Catholic Families
There are many many more, and also some parishes run their own unaffiliated programmes.
Ask your parish priest what is available in your area