Gifts for Japanese Host Family?

I'm going to Japan for a semester of study abroad and will be living with an old married couple. They're about 70-80 years old. I'm not sure what to bring for gifts. Any ideas?

My area is known for smoked salmon, but has anyone tried bringing that to Japan? Any airport regulations I should be concerned about? And do they already have smoked salmon in Japan?

I've looked at some decade-old online answers and some suggest bringing nuts, b/c those are expensive in Japan, but I don't know if that's true anymore. Plus, I don't know about them but my grandparents' teeth are no longer good enough for nuts so I don't want to get them anything they can't eat.

Yeah, japan has fresh and salt water salmon, but top quality salmon is very popular, and fairly expensive, so it would still be a welcome gift. Or you could give them a memento from your region that has special meaning to you (a souvenir from a local landmark that you enjoy going to, a small artwork of a favourite spot, a local product that you particularly enjoy). It will be more special because of your connection with it, and explaining the reason behind the gift will give you an opportunity to share some personal details about your life at home.

I tend to give gifts that our from my local area. I'm Canadian so I bring with me gift bottles of maple syrup, ice wine and I also live close to a Cree nation reserve, that have lovely hand made jewelry.
Look around your area, I'm sure you'll find something. If your an American a 7mm Glock is not a nice gift… Don't give this.

You should NOT bring meats, fruits, vegetables, or fish - unless canned and don't need refrigeration. The Customs and Quarantine headaches are just not worth it.
Otherwise, bring something that represents where you are from.
Bring a small gift for each member of the family, and one gift for the family as a whole. Nothing extremely expensive is necessary.
They will also return the favor and if you give very expensive gifts, it puts the pinch on them to give something of equal or slightly higher value. Foods are nice but also give them something to remember you by after the food is long gone. Keep a gift in reserve also to give the family just before you leave. Some typical items are: picture books or calendars, ashtrays, coasters, chocolates, fragrant bath salts, BBQ sauces; dijon or dark mustards, dressings like Ranch, mushroom, herbal, etc., pure maple or berry syrups, some special local jams or preserves (except strawberry or marmalade, they got tons), fragrant soap or shampoos, lotions, salad toppings/bacon bits, air fresheners, nuts, dates, dried fruits, flavored coffees and teas, keychains, postcards, etc.

You can take the salmon if it's in a commercially sealed packet- not necessarily a can. Candy is a typical gift for hosts in Japan, so if there's any locally-made candy, that would be good. We have also taken the folders with a quarter from each US state. It would help to know where you live. Representations of local landmarks are good, but a lot of those are made in China. They don't expect you to bring very much- it's the gesture that count.
BTW, people in Japan in their 70s and 80 tend to be in better shape than those in the US. They have a better diet, and they stay active by doing morning exercises.

A snack or something from your local area is a pretty safe gesture for souvenirs. Another thing would be something that represents where you come from, like postcards, maybe a mug, or a picture book that shows where you live. I'm not sure about an older couple, but I know things that can be placed/shown on a desk are appreciated.

It doesn't have to be expensive, but a little something for each person is all you mostly need, and then the snacks serve as sort of a communal gift for everyone to share.