I felt like April was the perfect time to be due with a baby and that actually was one of the big reasons why we started TTC again when we did. We wanted the kids to be two years apart and wanted me to have a similarly-timed pregnancy since I loved the timing of the first so much and already had the maternity clothes, etc.
I like that pregnancy during this time keeps me warm in the winter, yet I don't have to worry about delivery in a snowstorm, and then I get to deliver before summer hits.
Plus, all of our family birthdays and special dates are within those two months, April-June, so we'll just knock everything out at once and then won't have to spend a bunch of money again until Christmas.
Re: sun cover-ups....I wasn't comfortable putting lotions on my son at such a young age, so I just kept a bunch of light Aden+Anais swaddle blankets with me and would drape those over him or over the stroller to block out the sun but still keep things breathable. I also limited our time in the direct sun and didn't go outside on really hot/muggy days, period. Btw, you can also buy stroller canopy extensions. I think a friend of mine got hers for under $30.