Just graduated college and started working full time. I’m considering several options to get me in the real estate game. Potentially using FHA or conventional loan to buy the house I’m currently renting with roommates...

I choose "none of the above" as I believe you have left off the best option.  

Does anyone have any reputable recs that can take on a job this size?

if they are paying $765 instead of $875 (choosing the lower of the two numbers) and it is vacant for a month, it will take you over 6 months to recover the lost rent. 

Choose an inspector who is through has a portable computer.

If it were me as part of my due diligence, I'd pay out of pocket for an appraiser of my choosing, and ask her to do the appraisal to FNMA standards and "subject to" the property becoming real property.

So, I am mainly interested in long-term holds on SFR's and multi's but I am trying to learn about flipping and wholesaling as well because I didn't choose my current career field for what it pays, and making some money on the side would be nice.

sure you simply have to make a lot of money.. either choose the tenant pain and the writeoffs that go with it or choose write on s and live with the income and tax burden.you can always buy a plane that will shelter a bunch of income. 

How did you choose which city/state? 

Some investors choose to raise rents gradually in an attempt to avoid a vacancy.