Hey K.,
Here's the loose schedule that my 18 month old and I follow.
I try to get up before she does, around 7:00, which doesn't always work out. ;) But I try to get some Me time in with email, devotional, etc...
Once I'm done with that, or she's up and needing attention I get her up, changed, etc... and eat breakfast together.
Once we're done eating, I let her run around the downstairs and play with toys there while I clean up. She's kind of needy (physical touch/quality time child) and often gets irritable when I do this, but I'm trying to teach her to be patient and entertain herself, so I feel doing these chores while she's underfoot is helpful for her.
Once that's done we head upstairs to her room where I give her some quality time. She loves to bring books to read, build with blocks, play with noisy toys... Once we've spent and hour or so doing this, then I start cleaning up the toys and she's learning to help me do this pretty well. We clean up her room and then get her ready for her nap (its usually somewhere around noon) and put her down. I make sure to give her at least 30 minuets of undivided attention, with two kids that can be tricky, but sometimes you can do things that work for both kids. If its a busy morning with lots of email/internet search stuff, I do some of that after I've given her quality time. My computer is in the next room from her bedroom, so she usually brings me all of her toys while I'm on the computer, and sometimes will play with them on the floor. Sometimes she gets into mischief, like today she tore up a nearly empty roll of toilet paper ... it was getting too quiet. :) I try not to get upset with her, since I should've remembered to close the bathroom door, but I do make her clean it all up, even if it takes much longer.
She naps between 2-4 hours (this might be totally unusual, but its where we're at) and then I get my downstairs housework done, cooking, phone calls, cleaning (except for vacuuming - which I'd do before going upstairs in my kitchen cleaning time)
She wakes up and I bring her downstairs. If its a long nap, then its getting near time to eat again. If I'm still cooking then she wanders around the kitchen with her sippy cup of water while I finish. We eat dinner as a family.
After dinner she plays downstairs again while I clean up the kitchen. Sometimes her Daddy helps, if he's not on call, keeping her occupied. When I'm done cleaning up then I try to give her some more undivided attention. This is also a good time to go outside and play. We don't have a much of a yard (we're in a townhouse), but we'll hit the parks or go for a walk.
On days with errands, we hurry the morning and skip the cleaning stuff before heading out. I usually end up staying out past her nap time, so she needs a snack to keep sane (usually fruit and cereal/bread). I try to keep my errands to one day a week, and if there are emergency items try to get my husband to pick them up on the way home if possible, or wait until they're down for the night and he's home, so I can run out and get them.
I try to have some toys that light up or make noise for her to play with when I'm busy. With two kids this is harder as they'll probably fight over them, but maybe you can build a make shift barrier and let them play on opposite sides of it if they refuse to share. I like toys that are creative, meaning its not something that you just push a button and a light goes off, but something that you can change the way you play with it each time. (Legos, building blocks, dolls, sandbox, you get what I mean) A lot of toys are so unimaginative that they get boring quickly. That might be an area for more research.
Finally, I'd start inventing some chores for your 2 year old. There are lots of things they can do to help you, or at least think they're helping you. Giving them lots of praise for trying hard helps, even if its not done right. picking up toys, clothes, books... That sort of thing. It keeps them busy while you're dealing with your younger child. Also they start to learn that life is work, and not JUST about playing. If they learn to take small responsibilities now it will make adding them when they're older much easier.
Best wishes! Having a child is what got me organized, the first year I was working 4 hrs/day at home, so I needed to get her on a napping schedule so I could get some work done, and by 5 months she was on a 3 hour schedule, eating every three hours and taking 2 2.5 hour naps. It was a HUGE blessing and I only wish I'd started it sooner.