Largely dependent on how much equity you have in the property, you may be able to do a loan in the LLC.
For instance, you could refinance the VA loan into an investment type loan with as little as 15% or 20% down (depending on what type of loan program you will qualify for). If you don't have 15% or 20% in equity in the property, you can also put more money into that (the same money you would use for the down payment on the new primary can be used, instead, as helping with getting you to that 15% or 20% equity threshold to qualify for a DSCR or Conventional investment loan).
I would recommend purchasing the new home in a VA loan as well because you can get the home for 0% down payment, then when you move in a few years do this same process again and have gotten a new investment property for less down payment than you would normally need. For this reason, VA loans are heavily beneficial for investing.
Since this next primary residence you will only be residing in for 6 months, you may have some difficulty with getting a primary residence loan IF you do not disclose to your mortgage professional the nature of your job. If they have all the information, they can more likely help you out.
Never rent just with the purpose of trying to save money. If you plan on saving up for a down payment and it takes you a year to do so, the same property you could have bought a year earlier can then cost 5% more a year later, effectively making your savings amount worth a substantial amount less.
