I would like to politely ask my professor to meet me sometime soon. Could someone please let me know (1) whether my sentences are grammatically correct and also not weird to the ears of a native English speaker and (2) whether they sound polite. Any other suggestion would be appreciated.
1 - I would be grateful if we could meet at your earliest convenience.
2 - I would be grateful if you could arrange/set up a meeting at your earliest convenience.
3 - I don't suppose you could arrange a meeting, could you?