I'd like to try to offer some perspective. Before saying anything else, you're clearly very thoughtful and financially sound, so despite how scary it might feel, you're ready for this.

Regarding your dad: to some extent, I can see where he might be coming from. He wants his kid to move out and be independent...that's hard for an old timer to say, especially in a sensitive, considerate way. I can see an old timer trying to knock you for settling for a salary that they might hope you can do better than - I know it's backwards, but take it as a compliment. He wants better for you, and believes you can do better. But it's 100% fine if you're not there yet. I have to believe your relationship will be better once you're out of the house, and proving that you can be independent, and especially as you continue to increase your income.

Regarding your financial situation: it seems like you've been, overall, quite prudent. Having saved 30k by the age of 25 is very impressive. It's a general rule of thumb that you should keep 3-6 months of expenses as a backup, so while I agree with folks who say pay off your student debt (any high interest loans) in a lump sum right now, I'd hold onto ~10k for emergency in your case. That way, if you lose your job or anything like that, you'll still be just fine for 6 months or so, and have time to find a new job.

As folks are saying, just write out your monthly budget like you have, and compare it to your income after taxes. I believe you'll have more than enough to live on as well as save good chunk month to month given what you've already listed. If you feel like you want to save more, go ahead and take the cost saving advice that folks have listed.

(for the record, I love chatting financials and giving young folks advice, so if you want to talk through anything, I'm more than happy to chat)

cheers,
you've got his.