back to your original question about growing:
Do not start amaranth indoors. it will get leggy and never, ever recover well. It does not enjoy being transplanted.
Best thing to do in my
experience is to plant it out in clumps so they have some resilience to wind. plant some nasturtiums and marigolds near it or around it. dont give amaranth nitrogen or it will flower late.
Amaranth wont sprout until the soil is at least 15 degrees consistently. planting early will have no benefit, just wait for warm days to be routine. This north thats about mid May.
Forget it exists all summer. it will be fine. Nothing short of a hailstorm or tornado seems to bug amaranth. i didnt
water or weed or even visit my amaranth last summer more than once during one of the hottest, driest summers I've ever experienced. It was the only thing besides my squashes and rattail radishes that did well last year in that particular plot.
if you need to thin it early summer, pull em, strip the leaves, treat the stems like asparagus if theyre under 8 inches tall, treat leaves like kale or spinach.