I've had a partial molar pregnancy. I highly recommend checking out this board on babycenter...it really helped me a lot after I was diagnosed:
Since you had a partial molar pregnancy, you typically wouldn't need to wait the full year before TTC again. Many people get a "sentence" as little as 3 months of negative beta tests. I had 4 months before being cleared to TTC. It really depends on your doctor, type of MP, and how quickly your hcg levels resolve, and whether they resolve on their own or not.
The reason for the wait is to be 100% sure that any resurgence in HCG is truly due to a new pregnancy and not from turning into trophoblastic disease. If they're uncertain, they'd wouldn't be able to determine if they should treat you for trophoblastic disease (i.e., chemotherapy) or leave you alone because you're PG.
Good luck. Definitely check out that site!