Jo W and Cheryl made excellent points. You are going to spend a lot of money to pay closing costs on yet another re-fi. And depending upon the amount you plan to cash out, you might be better served just buying a totally different home--the closing costs won't be much different; OR taking out a 2nd or equity line of credit.
My first thought, however, was more in line with TFPlano/Allen-- if your husband just got a new job and is making more money, start saving it. Two reasons:
1) job stability/security--he just started a new job, so now is not the time to run out and take on new debt or set yourself up with higher monthly obligations. What if is 6 months from now, he isn't happy with this new job or they need to let him go for some reason?
2) You decided not so long ago that it wasn't worth it to take out more, when you did the re-fi. Not sure what you had planned to take it out for at that time (considering remodeling and decided to wait, or for something else)... but you decided, whatever it was, that it wasn't worth doing at that time. Your thinking now, almost seems as if it is the old "burning a hole in your pocket" syndrome. Don't fall for it. ;)
Start putting aside all the "new" money your husband is making and 6 months from now, reevaluate whether you still want to remodel. If so, you should have a good chunk of the $ saved already (if he is making enough more money that you are feeling comfortable doing ANOTHER re-fi so soon). You may decide (when you have cash in hand) that you'd rather spend it on something else, or rather save/invest it, or use it as down payment on a different house, or whatever.
For me, I take all the media reports ("it's time to re-fi now" "now's the best time ever to re-fi" "rates can only go up" blah blah blah) with a grain of salt. Yes, they CAN be a good idea... but not in the way that cleaning out your closet is. It is NOT something you should be doing regularly. It costs money to re-fi. ONCE if you have a ridiculously high mortgage rate from 5 years ago or something and now you can go from a 6% to a 3%.. heck yes! No question! But from a 4% to a 3.5% ? Not necessarily. Not so fast.... How much will that cost to do that? How long will it take (how many months of payments) before the "savings" each month "pays off" the cost of the re-fi? And you are apparently wanting to do this to take money out, not to save interest. Not the way I would go....