Try using a slurry of Bar Keepers Friend on a soft cloth.

I cna't speak to the BlueStar appliances, but I just have to chime in here and say that I do lkie the look of SS appliances in the right setting (esp. with cherry cabinets, which we have.) We opted to get SS range, microhood and FD fridge. I am just having a hard time dealing with the smudge factor on the SS. When I had my porcelain and textured appliances there was never a glaring smudge - whatever smear you had could be cleaned up with a spritz of Pine-Sol and a damp cloth - maybe 2-3x a week. With the SS I have to use a lightly soapy sponge. rinse it and then use a "special SS" cleaner, spray it on or use a SS wipe and then try and polish it out streak-free with a soft cloth or micro cloth every single time I use it. Sometimes I take a paper towel and use it to open the fridge or microwave just to avoid getting fingerprints on the metal. (And you have to be sure you wipe it in the same direction as the grain.) Sigh. It's just much ado about something that should really be nothing in this day and age.

This is my clipping from sherrilynn: about any stainless steel sink. I recently had a huge compliment from my brother, a builder of high end homes. He was very impressed at how good my sink always looks. He is not a fan at ALL with SS. He prefers porcelain, which chips. I asked him why he was so impressed with my sink and hates SS? It was because he has had to replace multiple high end sinks before closing because a workman or someone would have used a new homeowners SS sink and caused a 'scratch' in the bottom of the sink. The new homeowners would insist on a brand new sink before they would close.We all know that we can tolerate the damage that we do to our stuff, but not anyone else! When you spend well over a $1,000 to $1,800 for a sink, of COURSE you want it to be unblemished! Well, I told him my 'secret' to keeping my 12" deep single basin Franke sink looking good. I've used this 'method' on ALL of my sinks and I just love it! My sink glows because of the 'patina' that it now has...and yours can, too. The finish looks better each time you use my method, too. I use my sink! I also have a large family that I cook for and use some commercial size, heavy pans. Guests sometimes want to help in the kitchen, or teens, and they bang up the bottom, scratching the sink, and it will look just awful when they're done. They always apologize because they think they've ruined my sink. Never fear. I can 'fix' it in as little as 3 minutes from start to finish. I've now trained my teens on how to help me maintain a good looking sink. AND if they scratch it, they restore it! It's that simple. Here's what I do. About every other day, I use Bar Keepers Friend and one of the green scrubby pads that you can buy just about anywhere. It will keep average use to your sink 'maintained' between 'restoration' cleanings. When there are scuffs and deeper scratches in the sink, I use sandpaper to wet-sand the metal in different grades of paper to restore the sinks. I prefer the black 'wet or dry' sandpaper by Norton that you buy at HD. I already have about 3" squares in multiple grades already cut out and in a baggy under my sink, so I'm ready when I need to 'do this'. I start with about 150 grit working on the problem areas when I get to them, then work up to at least a 400 grit. I use small circular pattern and overlap all of my work. I never just 'rub' a scuff or scratch in a straight pattern; I always blend my work. I start in the furthest back left corner and work across the back of the sink moving left to right, just as you would work if you were writing on lined paper. I do the entire sink bottom, then move to the sides. I start with 150 grit paper, then change to 220, then 320, then 400. I rinse the sink after each grit paper is used. Sometimes I use a little soap or BKF depending on my needs so I can move faster with the paper. Once you try it, you will understand what I mean. I finish off with a good soapy rinse with a rag, then apply a 'finish' of Franke Inox cleaner or a wiping coat of vegetable oil. I have even used Rain-X to help repel spots. I'm just out of it right now and have been using up products I have under the sink. I use 'whatever' to just help the sink repel water right down the drain a.s.a.p.. My brother now had one of his guys using my method on their Franke sinks before final walk thru before closing on a new home. Guess what? They're not having to replace sinks anymore. After you clean your sink a few times, your sink will start to gain a beautiful patina and smoothness to the finish and you will start to love stainless steel. I also use this method on my $10,000 Thermador Range top. It glows. I just love it.

I have a four year old Electrolux. I tried the wipes and sprays on my GE range and it does leave a coating that I think attracts dust. So my fridge and Miele DW have never had a SS cleaner touch them. I'm afraid it might make me a slave to them. I use a Libman Scrubbing Bubbles microfiber sponge, found in the Libman cleaning section of my grocery store. I use these for dishwashing too but keep one only for cleaning my SS appliances. Rinse in hot water, squeeze out, and wipe in the direction of the grain (left to right) with the blue side. Dry with a microfiber cloth. For fingerprints I add a drop of Dawn to the sponge, wipe and rinse. Dry with a microfiber cloth. You'll probably see more than the occasional fingerprint with five kids but you really need to train them to use the handles. I trained DH so I know it's possible. ;)