Dear Ana,
We don �t normally say: "I �ll come UP to your house", unless his/her house is higher up a hill than mine.
We normally say: "I �ll come/walk/run/jog/cycle/drive to your house."
We can say: "I �ll come/walk/run/jog/cycle/drive ALONG to your house", because the house is on the same level as mine, (not UP, and not DOWN.)
But, if my house is LOWER in altitude than his, (even by just a small amount, say 10 metres), then we can say:
"I �ll come/walk/run/jog/cycle/drive UP to your house".
If my house is HIGHER in altitude than his, (even by just a small amount, say 10 metres), then we can say:
"I �ll come/walk/run/jog/cycle/drive DOWN to your house".
The same applies to: �the corner �, your surgery �, �your area �. etc.
We also apply this reasoning to geography. For example, people from Scotland �go DOWN � to London. People from London go �UP North".
I hope that this has helped you.
Les Douglas