I am looking for a long term position to serve, though I am looking for a place where I can serve for 6 to 8 hours a day, and have the rest to seek God. I have a thousand dollars saved up, and wondering if there is a position where I could get paid for it? if not, that is fine too.
I am more looking for a place that provides room and minimal food, and that is out of country, something that I can do full time.
I think it's great that you are looking at options to serve and if that is God's will for you, then it will come to pass.
The good news is that there are plenty of opportunities and organizations throughout the world that will allow you to volunteer your time. The bad news is that very few are willing to pay you for your time. Maybe you could look at one of the many missionary sending agencies that have paid positions for missionaries and/or help with raising support or a church you have connections to that is willing to support you in the field. Without a church or sending agency behind you, you will have to rely on your own efforts and/or family and friends that believe in your mission to support you.
The one thousand dollars you have saved up will not go very far. Depending on the country you decide to go to, much of that will be eaten up in travel expenses and establishing yourself in your host country. You really need to have more than that on hand before setting out on a journey to a foreign country especially if you have no one backing you.
Many countries also have restrictions on foreign nationals working, so finding a job to support yourself once you arrive may be difficult or near impossible. Even if you are able to find a job, you will be paid local wages which are far less than what you would be used to in the US, so keep that in mind. Here in Davao City for example minimum wage is around 90 cents per hour and the average person earns less than $180 per month. While it can be done, that would be a difficult amount for a westerner to live on.
Looking into an online job such as teaching English as a second language or something similar could be an option to look into as that would pay more than local wages and wouldn't be as restricted by the government in most countries.
You can also try investing in a business in your host country, but that will require a significant amount of money upfront.
I only need a shelter, basic clothes, and enough food to live, should not be that expensive. (internet would be cool though).
More good news. If you serve in a developing country, your expenses can be minimal. For example, here in the Philippines a missionary can live a pretty comfortable life on $300 to $500 a month. This would cover rent on a decent house/apartment, electric, water, phone, food, local transportation, visa renewals, and internet. If you decided to live in a boarding house or a hostel, it can be done for even less. This would be true in many other developing countries as well.
I am looking more for a position taking care of children than anything else, or service, more of a servant position than a preaching or sharing the gospel position.
There are many opportunities for working with children around the world. If you find an organization that will allow you to work with them, you will most likely have to go through a criminal background check or they may require that you provide them with one in advance.
My advice would be to either find a church or organization that is willing to sponsor you in the field (Which may be difficult), or wait until you can save up enough money to cover all of your expenses for the duration of time you plan to be in the field before you embark on your journey.