Congratulations! I have two daughters, 3 and almost-4 - they are 18 months apart. We wanted to try for #2 close to #1, but never expected I'd get pregnant so fast. So, to answer your questions, it's hard. I don't want to scare you by saying it was hard as heck, but it was - AND I wouldn't change it if I had it to do all over again! It is still hard at the age they are at now, but when they are getting along, which is most of the time, it melts my heart to see how close they are and how much they love each other.
The most significant thing that I can remember is that when I had just the one baby I complained a lot about how difficult it was to get anything done with the baby, like grocery shopping, errands, etc....well, when the second came along I kicked myself for having felt that way and wished that I had done more when I had only one - I was inexperienced and didn't know better!
Having two in diapers was truly no big deal for me - not much different than just one and I was happy to not have to deal with diapers, get rid of them, then start all over again.
How did I manage? Well, unlike with my first baby, I learned to accept help from people I trusted. That's not to say that I had much help, but when it was offered, I accepted - a few minutes here and there to yourself can do wonders.
Going places wasn't really bad, it just took a lot more planning and patience. Make sure to have plenty to entertain the older one and snacks - I STILL can't leave the house without plenty of snacks! To be honest with you, my brain is so fried that I can't even remember it much - I'm sitting here trying to think what else I can offer you and I'm struggling.
Just know this - it's the hardest thing to do, yet the most rewarding. Have patience, take deep breaths and take a few minutes for yourself when you can. Don't sweat the small stuff - learn to let go of control over everything because things will happen and you can deal with it. I'm sorry I'm not a big help; I hope something I said helps, though. Best wishes!