Zinc + Lead (II) Nitrate -> Zinc Nitrate + Lead

So far I have

Zn + Pb(NO3)2 -> ZnNO3 + Pb

What do I do now?

Did I even write it right?

Counting atoms:

Atom--Reactant--Product

Zn--1--1
Pb--1--1
N--3--1
O--6--3

OK, there's what I've got...

Zn + Pb(NO3)2 -> ZnNO3 + Pb

This looks correct to me, if it is then it is very easy to balance.

Treat the (NO3)s as single units, don't worry about balancing the Ns and Os on their own.
You should be able to see how to balance it. You need to start by putting 2 NO3s on the right hand side.

Let me know how you get on!