maiden name to married name - what to do?

[LorRie 37]

I have a question regarding my "new" married name and how it affects my documents and IDs, etc.
I'm already in the AOS status, having been married for almost 5 months now since I came here on the K1.

 
My question is, which documents do I need to have changed to reflect my new last name? I added my husband's last name to my full first/last name.
Which changes are needed and which ones are not so important? I am so confused and everything is just a mess with some of my documents reflecting the 'old' name, some with the 'new' name. 
 

Here are all the IDs/documents that are still in my 'old' name (or maiden name):
- my passport 
- driver's license / car registration 
- home rental lease

- credit cards / debit cards / bank accounts 
- car insurance
- if I buy a home with him, which name do I use on the deed? 

This is what I have so far with my new married name / husband's last name

- SSN 
- marriage certificate

 

 

I wasn't sure how important it is to have everything changed and did not want to unnecessarily update everything unless it is required. However, if it is important to do so for every piece of document/ID, then of course I will. I ran into a little issue recently when I went for my biometrics, as my driver's license + passport was still my maiden name. I had to rush home to get the official marriage certificate as proof. I would like to avoid situations like this again, especially if I am to travel out of the US soon (vacation/honeymoon). 

Also, my current passport has the K1 visa stamp so I wasn't sure how getting a 'new' passport would affect this ongoing status adjustment/green card process with USCIS - since my case is linked to my passport #, etc. 

Any advice on what you did would be wonderful! I want to get all my ducks in a row and not wait until the last minute to do what is required :-)