Start as you mean to go on - both of you! Equal parents in every way.
DH thought that since I'd babysat and he never really did that I had more knowledge than him - I didn't, I just googled and read stuff! Anyway, as you learn how to do all the new things - burping, nappy changes, weaning, make sure he's as hands on and as capable as you.
All too easily you can slip into you knowing how to for the baby because you are home with him/her and doing all the thermometer/ calpol doses or the baby will only go to sleep on you or whatever... so hand over the calpol, say "draw out 2.5mls with the syringe and give it to the baby I'll go make us a cuppa"
Any decent dad will be happy to learn how to do baby stuff. Any decent man will share the financial hit with you. Any decent partner will do equal amounts of the fun and the drudge and the chores. A good 'un is when you feel like you are in this fully together.
Don't EVER reduce your hours at work for childcare if you aren't married or if your career will suffer. Push for equal responsiblity. So we both took time off with a poorly DS in turns. We both looked for flexible working schedules so that we could do school runs, and since I wasn't married at the time, I went back full time, and while it was a big financial hit, the 3 big pay rises I got in the last 9 years all show that continuity for my job was important - particularly when DH was laid off some months ago, my salary comfortably covers most of our outgoings without dipping too much into our savings.
Your mantra should be "this too will pass" - especially in the first year. If you are at your wits end one day with colic or teething - remember this too will pass and in 6 months time it'll be a fading memory.
Oh and sleep when the baby sleeps.
Also - here's a nice one - a colleague puts together a photo album of the year for her parents - she's done it ever since her first child was born, one of those sites you upload and arrange it, add text and they put it into a book for you. You'll take gorgeous pictures, you'll have days out, the firsts of everything, funny anecdotes and the years go by so fast that before you know it that gorgeous picture you loved is on that old phone that's probably in a drawer somewhere... So do the album. Every year. And they will be lovely to look back on as the years go by.
Do NOT do elf on the fucking shelf. Or if you were duped into it like I was, for fucks sake, pace yourself. You'll have a decade of that shit so hundreds of nights of elfing to do so start off small and that way nobody will have huge expectations and you won't be crying into your wine on the 1st of Dec because you want to murder a doll.