My 3 month old is the same way, wearing him helps. But whoever said they could do laundry and load the dishwasher needs to teach my how to be able to bend over wearing a baby cause I can't do it without holding them to keep them from flopping around.
My bigger guy is only 17 months, so I totally get the jealous thing, and how hard it is to make time for two (when you can't even use the bathroom on a regular basis, lol)
If there is any sort of routine for naps and bedtime, stagger them just a little. my 3 month old isn't on a perfect schedule, but he's close, and here's what we do
11 am 17 month old goes down for a nap
12 ish 3 month old down for a nap
they both will sleep about 2 hours, so I have some quiet time and some time alone with each of them.
Now bedtime my older boy goes down at 7 and sleeps till 7 and the baby goes down at 9, wakes at 2am is restless from about 2-6 and then sleeps till 7ish.
We have also perfected matching nursing sessions with story time, favorite tv shows, snack time, games of peek-a-boo and itsy bitsy spider. He will bring me toys and we drive cars on the couch or build blocks ect. I try to make sure that every other session I am devoted to bonding with the baby, but sometimes it's just about making it work with as little screaming as possible.
And lastly, I don't get up at night. Some people may have a serious issue with this but it works for us, from 11-7 I am off duty unless there is a 2 baby emergency. In the beginning it was rough for my husband and for the baby, but they both figured it out, and it's important that daddy gets that time with the baby and that I can get enough sleep to function for 9 hours a day alone with 2 little guys. This didn't work for my 17 month old, he didn't sleep nearly as well, but generally the baby is only actually up that one time so it works. This also isn't a great idea if you have supply issues since a lot of your milk production happens during those middle of the night feedings. Generally I pump enough for 2 bottles when I get up and then nurse the baby right away and I've never really had any problems other than waking up uncomfortable.