Hello, I am Yoshi from NILS Japanese language school. Let’s start new lesson today!
[N (place) へ　行（い）きます／来（き）ます／帰（かえ）ります] *N refers to a noun.
When a verb indicates movement to a certain place, the particle へ is put after the place noun to show the direction of the move. The particle へ is read え.
(Example)
京都（きょうと）へ　行きます。　　　I will go to Kyoto.
日本へ　来ました。　　　I came to Japan.
うちへ　帰ります。　　　I will go home.
*行きます: go
*来ます: come
*帰ります: go home, return

[N (Vehicle) で　行きます／来ます／帰ります]
The particle で indicates a means or a method. When verbs denoting movemnet (いきます, きます, かえります, etc.) are used with で, で indicates a means of transportation. The noun proceeding で is a vehicle in this case.
(Example)
電車（でんしゃ）で　行きます。　　　I will go by train.
タクシーで　来ました。　　　I came by taxi.
*電車: train
*タクシー: taxi
(Words of vehicles)
*飛行機（ひこうき）: airplane
*船（ふね）: ship
*地下鉄（ちかてつ）: subway, underground
*新幹線（しんかんせん）: the Shinkansen, the bullet train
*バス: bus
*自転車（じてんしゃ）: bicycle
*車（くるま）: car

When you walk somewhere, you use the expession あるいて. In this case, で is not used.
(Example)
駅（えき）から　歩（ある）いて　帰りました。　　　I walked home from the station.
*駅: station
*歩いて: on foot

June 25th News, from NILS Japanese language school.