Walking represents living, and usually means living according to the true things taught to us by the Lord -- to "walk in His ways." When the Lord is pictured walking, it means life itself.

1413. 'To the land which I will cause you to see' means the spiritual and celestial things that were to be brought to view. This is clear from the meaning of 'a land', 662, 1066, and indeed from the meaning here of 'the land of Canaan' which represents the Lord's kingdom, as becomes clear from many places in the Word. For this reason the land of Canaan is called the Holy Land, and also the heavenly Canaan. And since it represented the Lord's kingdom, it also represented and meant the celestial and spiritual things that belong to the Lord's kingdom, and here those that belong to the Lord Himself.