J.F.
i don't know much about alimony, but my husband pays child support... i don't think you get to ask for an amount, i think the courts of each state have a calculator and figure it out based on salary and some other variables. you may be able to ask for more if you think they don't grant you enough (however, that's what my husband's ex did and turns out he was paying too much at the time...even though he agreed to keep paying the higher amount, not every guy would, so you have to be careful!)
Medical costs and insurance were factored into the child support part of court - in my husband's case it was based on comparing the parent's incomes.
And i second Everly - be sure to spell EVERYTHING out. Times, dates for drop off / pick up... if the summer will be different than the school year... especially who gets what holiday and at what times (we do it by even/odd years). Who the kids spend their birthday with each year. Mother's Day / Father's Day. How far each parent is allowed to take a child from the area before the other parent has to be notified. Maybe getting "right of first refusal" if you want it so you get the kids on a holiday or other time if your husband is unavailable during his time (as opposed to a babysitter/family member of his) - we have it only for certain holidays like Memorial Day, etc. A good lawyer will make sure it's all in there and set in stone so noone can play games! There was A LOT of "game playing" with the schedule before my husband took ex for a better custody agreement.
Good luck!