How can I find a good company that would take care of my property as well as I would if I were living there, get me a good rental rate, and deal with tenant issues quickly and professionally?

But make sure you do your "due diligence" on the property FIRST.Also, educate yourself by capitalizing on the podcasts, blogs, forums, and articles here on BiggerPockets.Finally, I would encourage you to join your local real estate investment club and network with other investors and real estate professionals in your area.

I see this forum as a good opportunity for me to soak up information from experienced professionals. 

I could be wrong or just lying to you, so be sure to talk with a local real estate professional before you do anything. https://www.hud.gov/sites/documents/SERVANIMALS_NTCFHEO2013-01.PDF

As always, seek professional advice.

Any time its come up I have told them I would have to hire a professional to do the work.

I'm looking to get to know some other investors and professionals on the forums and learn some new tricks in the rental game.

Network with professionals.

Good information with some experienced professionals. 

But always act professionally and respectfully.