This is late so maybe you have seen it elsewhere on the site but -
I moved here on EEA Family Permit in 2014 and actually, because it took my partner so long to get a job, renewed the FP bit several times (twice because of airport entry while waiting for the longer 6 months to renew). I didnt actually apply for the Residence Card until after we secured a place to live and he had a job, because we needed the proof of his employment status, which is pretty critical now.
Employers didn't care about the 6 months while I was applying, so long as I had something to show them, HOWEVER having the Residence Card I think will become more critical as this Brexit thing unfolds as the govt is threatening a cutoff date. I would recommend getting the RC sooner rather than later, as it can take several months to process (mine took about 10 weeks I think) and it shows employers that you can definitely stay longer than 6 months.
Get your name on some bills ASAP for sure - that will be critical for: signing up for surgery, bank account, anything else. Council tax and electrical would be best. I went to sign up for a surgery last week and brought a pay slip and HMRC tax info and that was good and all but... they still wanted a council tax or bank statement
It can take longer than you think to move here, so you may as well start a paper trail and get legit in the systems.
