何より・
Two ways to put one thing first. 何より is "more than anything". 何といっても is "when all is said and done": other things may be true, but this is what counts.
When I choose where to travel, safety matters to me more than anything.
The best thing about this town, above all, is the warmth of its people.
何より
何より（も） + what comes first
Read なにより. も makes it a little stronger. Before a noun, 何よりの.
何といっても
（Topic は）何といっても + the point that counts
Read なんといっても. Also written 何と言っても.
何より: more than anything
It often goes with 大切, うれしい, 重要 or 重視する, right before the word or earlier in the sentence.
Price and looks matter too, but above all, please check that it is safe.
I'm happy that I passed, but what makes me happiest of all is being able to tell the people who supported me.
Seeing her grandchildren is my grandmother's greatest pleasure.
何よりです: so glad to hear it
〜で何よりです is a set reply to good news: nothing could be better than that.
I'm glad to say my mother got out of the hospital last week.
I'm so glad to hear it.
何といっても: what counts in the end
It comes before the point that counts, which can be just a noun. You'll hear it in recommendations and reviews.
This hotel is a little far from the station, but when all is said and done, the great thing is how quiet the rooms are.
Summer, whatever anyone says, means fireworks.
Which one?
What I like most about this place is that it's cheap.
Of all its good points, this one comes first.
Say what you like about this place, the great thing is that it's cheap.
Whatever else you say about the place, good or bad, this is what counts.
Close neighbours
といってもN2
Without 何 it is a different phrase: it cuts a word down to size.
I call it a hobby, but I only take photos about once a month.
一番N5
The plain "most", picked from a group you name. 何より sets one thing above everything else, with more feeling.
Of Japan's seasons, I like autumn the best.
Check yourself
1A friend tells you nobody was hurt in the accident. Which one fits?
けがが
Choose an answer to see why.
2What is this person saying?
北海道は、
Choose an answer to see why.
More sentences
When I choose a new place to work, what matters most to me is how easy it is to work there.
In this plan, the most important thing of all is to listen to the people on the ground.
I'm glad to see you looking so well.
The great appeal of his work, above all, lies in how natural the characters' conversations are.