To sell or to rent out?

[Ashley Mobley]

Hello! I'm brand new here and I also don't have any rental properties just yet. I'm here because I'm trying to make a decision on whether to sell or to rent our current home when we move out of state in a few months. Since I don't know much about real estate and renting vs selling, I was hoping this community could help educate me. Here is some information about our situation.

Our home value is currently valued at $220,000.
The principal on our mortgage is $151,212. Our monthly mortgage is currently $1,153.
Zillow rental estimate says we could rent our home for $1,800/month. Another home in our neighborhood, that is smaller and on a less desirable piece of land, just rented for $1,750/month.
Our mortgage interest rate is 3.65% and refinancing March 2020.

We are moving cross country and are looking at homes $300,000 or less.
If we don't sell our home and use the equity for a downpayment, we have between $10-20K for a downpayment, which would mean we require PMI on a mortgage.

We currently make between $250-450 a month through options trading on the RUT. Potential is higher in the future.
We would require a property manager if we rent, which I assume would take $180/month if we are able to rent for $1,800.
Our long-term goals include having passive income and assets, so having a piece of real estate seems like a good asset to have.
We don't plan to stay in our future home forever. Currently we have an idea of 5-10 years

I'm sure I may be missing other important information that is required in order to make an intelligent decision on if renting or selling would be more profitable and align with our long-term goals so please ask any questions you need.

Would it make sense to rent our property and collect (I assume, if my estimation math is correct) around $470/month and have a smaller downpayment on our future house, meaning our future mortgage would be more expensive?
Or would it be a better investment to sell our current property, take $50,000 (estimated after fees for realtors and such), and use that as our downpayment on a future house? Let's assume the downpayment would be 20% of future mortgage and therefore, no PMI is required.

If we were to rent, would it make more sense to put the income towards paying down the mortgage on the rental property? Or use it in our investment practice, with the potential to make more through long-term stock investing and options trading (conservatively selling BPS's), where the gains could in turn allow us to invest more money each month, increasing returns?

Also, I've heard taxes increase once a property becomes an investment property. Would we have to change our mortgage? We've lived in our home 5 years as our primary residence so perhaps we wouldn't need to change the mortgage? I'm really not sure... like I said, total newb and don't know much about real estate.

Thank you for any and all help! I appreciate it!