Second the don't put fathers name on Birth Cert. although if he doesn't attend the register office with you,you can't anyway.
Later on you may want,DC's name to be changed,and this makes it harder(more complicated)If he/she is the same name as you,you can change it if you get married later.
I was a single mum for 6 years,my DH and I split up when I was 12 weeks pregnant.I worked up until I was 8+ months Pregnant,but switched from being a Theatre Nurse to an Admin role.
I was on Income Support for 4 years until my DS went to school.I had help with my Rent,and had Milk Tokens,and I worked 1 saturday morning a month as I was only allowed to earn £15.00 a week(£60 a month)Don't panic this was in 1996!
I remarried in 2003,have since had 2 DD's,and DS has our "new" family surname,so he is the same as his sisters.
It is daunting at first,but you can manage.I used to pay all my bills by buying stamps at the post office( not sure they do that now,but must have an alternative)weekly,that way i never had big frigtening bills that I couldn't pay,I worked out what each cost me weekly and this money was set aside to buy the stamps from my weekly Income Support.What was left was spending money and food.
I also joined the local NCT group,although you don't have to be a member,and went to their "Bump n' Babes" meet ups to make friends.I went to (and still do!) their NCT Nearly New Sales,where I made money selling my DS old clothes and toys,and was able to buy all "new" things for him.Also good for Maternity clothes and Nursery stuff.