HTC Hero :: Way To Sync Google Calendar And Contacts To The Phone

Is there a way to sync Google calendar and contacts to the phone calendar and contacts?

I deleted all my outlook entries (calendar and contacts) from the phone because it was creating duplicates. Now, I am syncing my Hero with my Lotus Notes calendar at work, as well with my Google calendar. I can see all appointments on my phone. However, I can't see Lotus appointments on my Google account, neither my Google calendar entries on my Lotus Notes.

How can I sync them all? If I import my Google entries into Lotus, it will create duplicates in the Phone and vice-versa.

I don't see any advantages for Google entries to be separated from my other entries. I have one list of contacts and that list should be the same across all programs I use. The same for calendars (actually it is useful to have multiple calendars, as long as no duplicates exists).

That, for me, is the biggest drawback of the HTC Hero. My Moto Q was a lot worse phone than the Hero, but the calendar and contacts sync was much better.