I'm relocating to the Upper East Side this June for a three-year period and am considering purchasing a 1-2 bedroom apartment with a budget of $1-2M.

Any other options I should consider?

I would consider getting out of property management and getting into cleaning IF you think they are doing better than you . 

So many questions and things to consider.

They have good customer service, good online access, and take series LLCs.

Lilia’s breakdown of what to consider before investing is something I wish I’d read when I started.To add some color, I had a client a few years ago who purchased a duplex in Austin with a plan to hold for 12+ years.

What bylaws should I consider and what business strategy should we implement?

What would you consider a "good agent"?  

If so, then they are not considered real property and you are dealing with the land value only.If they are stick built tiny homes on foundations, then that is something else.

Still, considering how difficult it is to find a good real estate focused accountant, limiting your search to local providers usually gives you too few options.Expand your search to include remote CPAs.