I have a hydrangea that grows pretty well (not great) and is in the wrong place. When can I transplant it?
During dormancy will be the appropriate time to move these shrubs. This article will help: https://www.gardeningknowhow.com/ornamental/shrubs/hydrangea/transplanting-hydrangea-bushes.htm
I cut back hydrangeas after blooming last year and fed them in spring, and have very few blooms this year. Also, exactly what fertilizer to use?
It sounds like you have Hydrangea macrophylla. This one flowers on old wood, so pruning any branch that has not flowered, or if the frost kills it back to the ground, will keep it from flowering properly. It's important to know what type of hydrangea you have as that determines when to prune if pruning is needed.
As far as fertilization goes, they generally prefer an all purpose food, but sometimes it is good to only feed them fertilizers high in phosphorus and potassium.
These articles will give you more information: https://www.gardeningknowhow.com/ornamental/shrubs/hydrangea/hydrangea-not-blooming.htm
https://www.gardeningknowhow.com/ornamental/shrubs/hydrangea/fertilizing-hydrangeas.htm
It bloomed for the first five years--but lately, not.
When to cut your hydrangea depends on the variety, as pruning them at the wrong time can cut off growing flower buds. These articles should help:
https://www.gardeningknowhow.com/ornamental/shrubs/hydrangea/hydrangea-not-blooming.htm
I planted one years ago between sidewalk & house. It never really blooms. It begins, then the "flowers" go black & the leaves begin to turn black. I'm thinking of moving plant somewhere else. When should I do it? And, what do I need to do to help it bloom?
Before you move it, though unless it is in the sun you shouldn't have to, make sure to treat the infection so that it doesn't get spread to the new area, as well.
A fungicide will do the trick. This article will help: https://www.gardeningknowhow.com/garden-how-to/info/using-fungicides-in-garden.htm
This article will help you to know what Hydrangeas need in, in general, to be healthy: https://www.gardeningknowhow.com/ornamental/shrubs/hydrangea/growing-hydrangeas-hydrangea-care-guide.htm
As far as the blooms go- if all environmental factors are taken care of, including testing the soil for too much nitrogen, or a lack of phosphorus and potassium, making sure that it doesn't get too much sun, and making sure that it has a chance to dry out thoroughly between waterings, then you might chalk this up to being right outside of the range of that particular cultivar.
This article will help you to address the flowering issues: https://www.gardeningknowhow.com/ornamental/shrubs/hydrangea/hydrangea-not-blooming.htm
What do hydrangea seeds look like?
Typically they resemble cracked pepper. Very small. Flattened and almost papery, and black to brown.
https://www.gardeningknowhow.com/ornamental/shrubs/hydrangea/growing-hydrangeas-from-seed.htm
I've had some in water since late summer, but they show no signs of rooting. I change the water regularly in hopes that I'll be able to plant them in the spring.
It's possible to root them in water, but my research shows it usually fails. If the cuttings still look alive, try recutting the bottom of the stem, dip in rooting hormone and insert in moist potting soil.
Here is more:
https://www.gardeningknowhow.com/ornamental/shrubs/hydrangea/hydrangea-propagation.htm
Just the 'sticks' are showing now.
It depends on the type of hydrangea you have, but generally, pruning may not be necessary except to deadhead blooms and remove dead stems.
This article will help: https://www.gardeningknowhow.com/ornamental/shrubs/hydrangea/prune-hydrangea-bushes-hydrangea-pruning-instructions.htm