My kids are 2yrs 4mos apart, and I like that spacing. A little closer would have been nice, too. I say, if you want your kids close in age, start trying right away. Who knows how long it will take you to concieve. I saw in your post that you are living with family, so that might be helpful for you while you are feeling your worst. I wish I'd had that. For me, that was the hardest part of being pregnant with a toddler--being the sole caregiver (I am a SAHM) and not having the energy to play with my daughter, and wanting to take naps all the time, and she never wanted to! But after the first trimester, as you know, you will feel better. But the tired part seemed to never go away, because I was chasing my daughter around constantly.
After my son was born, I think the first 4 months were the worst. My daughter was a very busy, energetic toddler (she is now a busy, energetic 4 year old) and needed tons of attention, which was hard to provide while also caring for a newborn. She got into a lot of things while I was nursing, so we ended up gating off the living room so I could keep a better eye on her. I also made a nursing box, which was a box of special toys she only got to play with while I nursed my son, so she felt like it was a special time for her, too.