Town name "Shin-Yokohama" does not mean "New City" to replace "Yokohama station" and around,
just because "Shin-Yokohama" is attached to the stop of the "Shinkansen" line "新(Shin = new)".
The blue circle that I wrote in the edited rail map is a big city,
there are two major flows in the flow toward Yokohama station which is the center of Yokohama city
and the city center in Tokyo (Shibuya, Shinjuku, Shinagawa, Tokyo station etc.) on the upper right.https://i.postimg.cc/6QkLhqHc/shin-Y-map.png
Although only the orange circle is not a good area,
it is not limited to Japan only if the big town has many rental properties.
This is the original rail map. (larger one, 4000 x 3097 px)http://www.ermydesign.it/antoyokomonogatari/menu/maps/GreaterTokyoRail...
Depending on the company's transportation expenses,
it is also possible to choose "Shinkansen" to avoid commuting rush from "Odawara".
"Tokyo" that the Japanese imagines means "23 wards of Tokyo (middle wards of Tokyo)",https://en.wikipedia.org/wiki/Special_wards_of_Tokyo
but foreigners who do not know Japan distinguish
btw "Tokyo" and "Kanto(Tokyo and around as bed town)" do not understand.https://en.wikipedia.org/wiki/Greater_Tokyo_Areahttps://en.wikipedia.org/wiki/Transport_in_Greater_Tokyo
Although it is an easy reason if studying the history of Tokyo and its surroundings,
the place where there is the present "Imperial Palace" is the site of "Edo castle"https://en.wikipedia.org/wiki/Tokyo_Imperial_Palace
built about 420 years ago, and the town radiates in the center of Edo castle.https://blog-imgs-42-origin.fc2.com/h/a/m/hamamuratakuo/tokyo_30km.png
This is taken by ISS, you can see the live on YouTube.https://i.pinimg.com/originals/87/d5/d3/87d5d3935a0dbf0dc6ac7a1c8d200d...https://youtu.be/ddFvjfvPnqk
Anyway, it is a matter to consult the company, ASAP.
In Japanese common sense, the rent is ideal within "1/3" of income.
Because humans can not live without eating,
the areas with supermarkets(grocery store) and shopping mall where food items are cheap
are also popular following the stops of faster rapid and commuter express trains.https://www.odakyu.jp/rail/
And it is not a moving season now, there are not many good properties.