It seems you have competing priorities... nice home for kids versus wanting to start buying investment properties.
There are some things we don’t know... like where you are leaving to... will it be around the corner where you keep the same job? How much is housing where you are going, etc.
Banks will want to know how you will pay whatever loan you take out, and changing jobs would worry them from a continuity perspective.
Banks work off of debt to income ratios to qualify you, among many other things. If buying investment properties they also look at reserves as well.
Most banks sell there loans and so they have to write them to Fannie Mae standards... the good thing is that you can look up those standards real easy. Here is the link to the qualification standards (hopefully bigger pockets allows link sharing.)
https://singlefamily.fanniemae...
If no link appears, google : “Fannie Mae Eligibility Matrix” and you will have a very good idea of what a banker is going to tell you.
With that said, if you are doing this on your own, your easiest way into an investment property is going to be living in it first... this means either buying a property you are capable of splitting in two and renting out the other half, or buying a house for your family, then at some point moving and renting the property.
The biggest difference between buying a home for yourself, versus a true investment property is the down payment... 3-5% for a personal home, versus 25% or so for an investment property. With your $18,000 to purchase it pretty much dictates a personal home purchase is your avenue available if going it alone.
A couple of other options come to mind. One is that you could try to get into wholesaling properties, where you find a deal and sell it to another investor for a commission and grow your reserves this way.
Another variation of this would be to find a great deal and partner with someone and split the profits. You gain experience and ride their better coattails on the money side with some skin in the game too.
You really want to be careful if being a landlord on a limited budget. Ask yourself... if the AC goes out and you need to spend $4,000 to replace it like I did this week... can you afford it? If the answer is no, you need to take a close look at what you are thinking about doing. Most really affordable properties are affordable because they need work. We typically put $3-5k into our average property for it to be ready to rent... perhaps this is replacing the carpeting with tile, or painting the unit, or replacing the water heater or AC, etc.
I could go on, but hopefully you get the picture. Your debt load is probably going to be an issue... so I would say work towards paying that down first... along the way you could wholesale to raise money and pay down more debt.