I have a stovetop (the flat name) and it is great! We've had it in our house ever since it was built 16 years ago and have never had a problem. There is stovetop cleaner you can buy that works well to keep them looking shiny, clean, and new.
I had a flat glass stove top at my old house and LOVED it for ease of cleanup. Like others have said, if you get the right cleaner spills and burns will come right off. We used a glass cleaner that was sold at Home Depot for getting the buildup off fireplace/woodstove glass. It was awesome and required very little effort. Coil top is way harder to keep neat looking.
Just avoid the glass stove tops with "smart" burners. Those SUCK.
Duel Fuel is the way to go if your kitchen accomodates it.
Gas cooktop-heats instantly, more control over temps.
Oven-electric-more accurate, consistent temp. This thing preheats super fast. I highly reccomend it
I have a glass cook top with 5 gas burners. I love it love it love it.
The glass is really easy to clean, but I have grates and the ease of cooking with gas. Our house was originally plumbed for gas and I've cooked on electric coils before and hated it, so I went with a gas cook top again.
with the proper cleaner, it isn't hard to keep it clean. and i am notorious for letting things boil over.
i like the way it looks but i prefer cooking on coils. my complaints - if you have something at a high heat and then want to turn it down to a lower heat (something like rice) it takes much longer for the temp to lower. for the first few months i burned just about everything. i've since learned to adjust the times on low heat...but it still frustrates me.
I wonder if the "smart" burners are what my mom was referencing. I told her I loved my glass top. She said that the salesperson recommended she NOT get one because she does a lot of canning and if the pan is a lot bigger than the burner there is some sort of sensor that will turn the burner off. I have never run into that but I don't can and my big pan doesn't overlap the biggest burner.
We bought one. They aren't that hard to clean. Give them a scrape down, clean off the scrapings and then polish with the appropriate cleaner. My only concern with them is telling if the elements are still hot - the light system on our cook top is counter intuitive. Performance wise my research found that coil tops and ceramic tops performed about the same.
I had "early" model with the individual plates for each burner.. HATED it... They cracked and were nasty... but that WAS in the 80's! The whole piece ones must be better.
I have a JennAir and like it alot. I use the griddle a lot and have the wok option( with burner which is pretty cool) and will be using the grill more that it is winter now. It is electric, not gas.