You yourself said you pitch too high deliberately in the start, expecting some haggling.
If $30 an hour pleases you, then don't mess it up by getting greedy.
If there are other issues with the job that you haven't told us about, bring those issues up and perhaps they will go higher.
The way negotiation works is by joining people with different expectations. It's not a contest or a battle of wits you have to "win." For them $30 an hour is great; for you, it is great. That sounds like a successful deal to me.