Which package is good for foreigner Expat or Local for longterm stay?

Hi Guys,

I am seeking out some help from you urgently and I would be Thankful for your quick responses.

I got an offer from an Energy company and I have one week to decide on my offer. They are offering a Senior Technical Position and salary of 51000 DKK a Month and initial accomodation for 3 months. However, they are saying that I will be taxed on the accommodation + travel expenses (which is weird ). When I moved Malaysia, everything was taken care by company for a month.

I googled a lot since last Friday and found out that the package they are offering is a Local contract whereas if I join the company on Expat package then my tax rate would be less as well as I don't need to pay any tax on Accommodation etc. to the Income Tax authority. I also tried reaching out some ex colleagues but they themselves don't know much about it and suggested to raise it here.

So, I have some major queries:

1- Is 51K DKK is sufficient for a family of 3 (including 2 years old child)  considering she goes to Daycare which seems to be 3K a month as an expense. I would like her to indulge in the local culture because I am not sure how long we will stay there in Denmark.

2- What are the benefits of Local package over Expat one as my hiring manager &  HR were trying to sell a story that if I come on Local package I can avail several benefits and chances to get PR would increase? Considering I would like to stay in a country now for next 5 years as with a child moving here and there is not easy.

3- How much rent should I expect for a two bedroom apartment in Gentofte Area?

4- Can I rent a car for 3-6 months period and if yes then can you please share some reliable websites or contacts?

I am tired of reading about Expat & Local packages etc. kindly help.

Thank you for your answrs....eagerly waiting....

/Mridul