I want to buy a new private home and use my current primary residence equity (plus some cash) to buy a new primary house cash and then sell the old one.So, I am looking for a HELOC with little to no closing costs, as I will retain the money only for as long as I am selling my old house after buying a new one.Any advice?

We need to take a HELOC to couple with our savings for the 25-30% downpayment. 

Or is there another way to finance, HELOC?

Also with that I am looking to go the HELOC route on my primary residence.

Once it's complete you take title and complete your exchange.Can I put about 30% down on the new investment property using the 1031 exchange then take out a heloc loan of 80% LTV and use that money to make repairs?

I am new to real estate investing and was looking into taking a heloc on my primary to purchase land and do a construction loan.

I am trying to take a HELOC on my primary home for a down payment for my very first rental property.

We do HELOCs as well. 

Yes, there are a lot of people who spend less than they make and have a surplus.There are others who are inheriting wealth from othersBut there is another subset that we often forget: those who have equity in their homes.Much of the equity has built up due to a runup in home values since 2020, which allows these people to use a HELOC to purchase a home for cash.When rates were low there was a group of people who were using Hard money to purchase and rehab buildings and then refinancing at the end this was the BRRR strategy.Hard Money is not an option these days since the cost of refinancing at the end of the project is too expensive.So when we see people paying cash, it is often pent-up savings and HELOC money that people use, and not as often Hard Money.

we have a primary fixed loan plus an adjustable heloc.