Getting COVID booster now versus at 36 weeks

I am vaccinated (pre-pregnancy) and am interested in every available vaccine to protect my children. I have a 3 year old and a 1 year old who are in daycare. My OB is ancient and refused to take a position on the vaccine or boosters- thanks for nothing dude.

My original plan was to wait until 36 weeks ish to get a booster, to maximize the immunity coverage for my newborn but I’m having second thoughts about it. My exposure is going up at work and I’m just wondering if I should get the booster now to protect myself rather than stretching the limited immunity i will pass to my daughter.

Anyone else in a similar boat? How did you decide?