Refinance a soon to be Rental?

[Reynard Azada]

I want to get your guys opinion on how to start this?

Just closed on a primary home today & now am wondering the best way of handling the home I'm in.

Would refinancing be worth it if my interest rate right now on a conventional is 4.75%?

Would I be able to still get a heloc on this primary even though I'll be moving into a new primary tomorrow?

I would want to rent my primary soon to be rental for $2200 or more, with PITI at $1450. Thus the reasoning of refi to see if I can reduce interest rate down a point or more in this time.