A.K.
hi H., it sounds like you're really struggling with all of this. perhaps you could try and reframe your thinking a bit? i'm a sahm of two kids too. it can get tiring, but i still find plenty of "me" time, it's just that that "me" time usually includes the kids now. lol sometimes it helps to think of you and the baby as a unit. you are not exactly separate yet. it takes 9 months in the womb and at least 9 months out of it for the baby to understand that he's not part of mama. so what i did, was accepted the fact that i would (almost)always have the kids with me, and reframed my mind to think of it more like me living my life, and the kids living their lives, but we were doing it together. does that make sense? baby/child care was almost a non issue. i help my children, but they are not the center of my life. (and i'm not trying to say that i don't love them more than anything!) we are always close together, but they do not prevent me from focusing my attention to other things("me" things!) as well.
a very helpfull thing to invest in(if you don't have already) is a baby sling, so you can still get things done around the house or for yourself, while still meeting the needs of the baby.
as for the exercise, i struggled with this for a while too, but i've come to accept the fact that if i want to exercise at home i'm going to have kids crawling on me(it's gotten way better as they got older!)and dogs licking my face, and i'm going to have to work on blocking out all of those things. i just did exercises with the baby in the sling when she was little too. sure there's a limit as to what you can do like that, but it's exercise none the less! and they always seem to fall asleep while i'm working out. (they can actually expend energy through you!)
if your husband is moping, ignore him. it's not your job to make him happy. his happiness should have nothing to do with your contentment. he needs to rethink his "free time" comment too. you guys aren't just you two anymore, you are a family unit, and it's very important to realise that you all can function as a unit without impeeding on anyone's independence.
i hope some of this helps, and i wish you the best of luck and happy mothering!