I'm not sure what your financing strategy is for your early phases, but it will save you time and money in the long run if you're familiar with all your options now. 

, or just save any cash flow I might have to save up for a down payment on property #2?

Again live there for a year or two while we save funds for the next property.The next property would be a bit larger, it would be bigger than a four-plex I believe a commercial loan would be required?

However, nothing will save you from the property taxes here.

I’ve been learning as much as I can about investing and my plan at first was to save up money for 2-3 years but now I’m wondering if it’d be possible to invest in a rental property with only $10,000 saved up.

Sometimes the incremental savings from $1,000 to $2,500 or from $2,500 to $5,000 are too small to make the higher deductible worthwhile.

Add in that you get certain discounts and it's unlikely you would see a big savings to shop lenders. 

Save all your money.

It is good that he texted you to tell you that the keys were in the mailbox, save that text.

What I see good from that, is that I don't have to pay anything for rent, the tenant is paying months of my mortgage payment and I am being able to save more money now to buy some more properties that could help me get some cash flow.