Hi.
My DS is 2 and a half, and I've been exactly where you are now.
Does your DD nap at all during the day?
I used to be constantly shattered, and DS was grizzly, because he didn't nap. Eventually I sussed he was grizzly cos he was tired.
I got into a routine with DS where we'd go out (park / swimming / soft play / anywhere to tire him out) in the morning, come home and have lunch, then I'd put him in his cot for a nap. He'd usually fidget & chatter for a bit, but he'd invariably drop off and have a good nap for an hour or so, sometimes more. When he napped, I'd try to relax / rest / read a magazine. It made a real difference.
It got a lot easier when he could walk, as the act of walking about used to tire him out more, which meant he napped better after lunch, which meant I got a better break.
Do you have a bedtime routine?
It does get better.
It got a lot better for us when I decided that we would all eat together in the evening. Previously I'd give DS his tea, then DP & I would have supper when DS had gone to bed. I'd be slaving over the hob knackered at 7pm. Now we all eat between 4:30 and 5:00, then we play / watch a bit of CBeebies til bathtime, then when DS is asleep DP & I have the evening to ourselves.
Chin up and keep chanting 'This, too, will pass'