What would the requirements be to buy a multiunit under a new business name and how do I continue to purchase more multiunits in the near future under that same business?

Might be some options but will depend on a number of details here. 

Our Playlist Beta Membership gives you access to the following: 🔐Unlimited audiobook downloads of 37+ real estate investing and business books🔐Unlimited ad-free podcasts including Real Estate, On The Market, Money, Rookie Business, and DailyI'm sorry for the confusion and would be happy to clear up any more questions!

Quote from @Annie Seurer: Quote from @Guy Keren: Hi everyone,I'm exploring the possibility of starting a short-term rental business in Jacksonville.  

Following as intriguing to learn more about this side of the business. 

The answer will be dependent on your fact pattern, so a general forum like this may not be able to answer such a broad question.With regard to the LLC structure, note that CA does not recognize series LLCs, and CA tends to have a broad opinion of what constitutes "doing business" in the state, and therefore, what LLCs need to report with the CA Secretary of State and file appropriate tax returns. 

It’s the nature of the business and working with a lender who understands this and can work with you is invaluable.

They are more relationship based and will look at your overall business plan and will lend smaller amounts knowing you will use them for more business later.

Reading through some other forum posts, it looks like there are much simpler partnerships, entities, or offerings that would meet what I am trying to do:My Role:-Decide on properties to purchase, mostly SFHs-Establish LLCs or other business structures to hold the real estate and distribute returns-Purchase properties, using loans as needed depending on the ROI/cash flow desired from investors-Act as property manager for the properties-Depreciate properties held in business entities to minimize taxable income to investors-Distribute returns to investors-Create investments that have high cash flow (CF) and low appreciation (App) , moderate CF and App, low CF and high App-Find investors from connections, friends, and family with no public advertising-Advise in a minimal capacity on tax and real estate strategies-Send investment reports to investors-Be fiduciary to all investors-Receive compensation from PM and other management work I do related to the investmentsInvestors:-Can be non-accredited -Invest as little as $1000-Can use retirement accountsWhat references can people recommend for me to learn about business structures, partnerships, securities, taxes, or other topics to get me started on learning what will work for my goals?

After closing, my first orders of business were to swap out the toilet ($130) and install a new and significantly nicer shower head ($30), which solved both of their problems.