Having the warrant issued after you moved doesn't make any difference, a warrant is a warrant (except if they can prove you fled to avoid arrest). We learned from experience that one can hire an atty in the State where the warrant is (public defenders aren't assigned til the hearing and so can't do this advance stuff) and have him call the DA to negotiate an orderly surrender date for you. The State does this to save themselves the cost of having to come get you when you live in another State, and then you get a couple of weeks to get your affairs all in order before turning yourself in. (You have to pay for your own travel costs either way, and if you get to do it yourself you can pick the cheapest fare----if they do it it's going to cost you a LOT MORE.) The atty also "bargains" with the DA for you. It depends on the type of warrant whether a court appearance is required (probably it is so you'd have to go back there to answer the charges) but your atty may be able to negotiate something that allows you to be back home the same day, depending on the charges against you and how tough the judge is.
My brother had joined the Legal Services Plan so called them, and they assigned him a really high-caliber atty in the other State. He is only paying $70 per hour for him which is a huge discount from normal rates (that's one of the benefits of the plan).
The State usually will not come get you because it costs them too much money. But if you get stopped for a traffic violation or anything, anywhere in the US, you will probably be picked up and held in jail until they can send you back to the original State. You can go to the other State to visit and as long as you don't get in any contact with the law (neighbors who know about the warrant tipping them off, or stopped for a traffic violation, or arrested for something else), you probably wouldn't be caught---unless you come from a really small town. Still, it's much better to face this and get it behind you, instead of having to worry all the time about your life being majorly interrupted at any moment by a minor traffic stop.
Your other alternative is to move out of the country.