Relocation and HELOC vs Cash out ref

[Maya Gavasheli]

I've just started to read all REI stuff half a year ago, have read several books and listened to podcasts, got to local REIA( after three week it started this corona-virus things happened, and everything turned online, as a result I did not have a chance to know people there).

I've thought about starting to implement everything I've read and heard step by step...BUT for us it is not a time to think about rentals it is time to relocate.

Now, We need to relocate from the south-east part of the US to the north-east.For this moment our primary residence has 25% of equity on it. Within 9 months we need to have it makeuped/(done several constructions) and be sold.. We want to use this money that our house has on its equity. what is the best way in our case to use this money to do all the constructions it needs? HELOC? Cash out refinance? Or is it something else we did not think?

Maybe leave this house as a rental? But we are not experienced rental owners(I believe it can turn to good rental and can cash flow), and have rentals far away for us is not good idea yet.

How to get minimum wasted money and max results in this case?
Our house has an unfinished basement and my question is :

Is it a good idea to finish it now? Will adding sqf to it add value to the house?

Can I turn a room in the basement into a bedroom and sell it not as a house with 4 bedrooms but as a house with 5 bedrooms(other 4 bedrooms are on a second floor)?

In this unfinished basement, it has one room with all pipes ready to be turned to one more bathroom..If I finish only this particular room, will it add to the value of the house?