WIC is far easier to apply for then Medicaid.
I applied for WIC when I was 6 months pregnant with my son.. I got it immediately, I waited a few weeks for the appointment, but received it. Now I have to go every 3 months for a class about nutrition or something to get my benefits applied to my card. I get a lot of food since I'm BFing and I also get 96 cans of baby food for Kenneth. If you FF than you will get cans of formula, I know it varies from state-to-state but here in TX you get 6 cans of formula.
I applied for Medicaid when I was 6 months pregnant as well. I applied in Feb 2010 and received my id card for myself in April 2010. It didn't take too long because I think they expedited it since I was due to give birth in a few months. I'm not 100% sure how it works for children, since my Medicaid immediately went over to LO, so I didn't have to worry about applying for it for him. Have you looked online to see if with your OH's income you'd be eligible? When LO is 1 year old, he won't have Medicaid anymore and we have to switch to CHIP, it's not bad because it doesn't cost THAT much but it's not completely free. Here in TX to get Medicaid you have to like literally make less than $200/month and be like in poverty, it's really ridiculous! Good luck!
EDIT: I just saw your from TX. You could call 211. That's like the main number that gives you help regarding all of the state financial help. You can speak to someone, let them know your situation and what your OH makes, they'll let you know if you qualify for anything else including Medicaid and WIC. You might qualify for food stamps, child care assistance and utility assistance.