@James Tarantino - you're off to a good start asking these questions, and looks like you are getting some good advice from some other members. I'll add a few things I think may be helpful.
* First, I"m not familiar with NJ market but obviously there are advantages of owning in the market you live in.
* I recommend you first investigate different markets around the U.S and then pick 3-5 markets that intrigue you most. At that time, really refine your search to try and determine what market will likely give you the best opportunity to achieve your real estate goals. When researching markets, research landlord tenant laws, what is the political/regulation environment? Is the area business friendly? Is crime increasing or decreasing? More people moving to the area than moving out, etc. . .
* Congrats on having $400k budget. In some markets you'll be able to invest in a MF.
* Also, I have clients who self manage an STR from out of state. I referred them to a cleaner and maintenance person and it is going well for them. I also know other investors who self manage STRS in their own state. Since you work full time, self managing a STR may not be viable, but it is definitely doable.
* Lastly, I applaud you for wanting to get started in real estate investing. However, please note, you can now get about 5% yield in a money market. That 5% return - stress free - not having to deal with tenants, maintenance issues, property management companies. Might be a good place to park your money until you find a quality real estate investment.
Wish you well