to save room i picked 3 places that were in general areas.
1)varrock-because its within walking distance of lumbridge and falador
2)Ardougne-because it gets me into the western parts of runescape
3)canfis-because it gets me into the eastern parts of runescape
since i also have a mounted glory amulet i can get to edgeville and draynor but more importantly i can get into Al kharid (for the desert places) and karamja (which also gives me access to the Sailing ports system)
with this setup i can go anywhere from my house in a reasonable amount of time.
p.s. My house is currently under lock-down because i'm no longer mems but this is how it was before i quit membership.