Yearh danish bakery is great! We love it soo mutch here in Denmark!
When you get to know a little about copenhagen it is easy to point out the good and cheap places to eat!
There is a restaurent called "Riz-raz" whitch is a really great place to eat! The main buffe is vegi food, but you are able to order meat of any kind to very reasonable prices! It is a highly popular place to eat, so you might go there and make a resevation for a table a little before! It is located near to the Copenhagen Dome-church!
Another option is the Sunset boulevard, it is linked to Subway, so same healthy food!
To get around cheap with the public transportation, buy a 10-trip rebate card for two zones (its blue) and then stamp it before you enter train, metro, bus, etc! You save about 50% of regular ticket price! It will cost you around $20 (130 dkr)! Just remember to stamp it before you enter the trains, as it is possible to enter without, and then you get a fine for travelling without a valid ticket!
The metro for instance, goes all the way from the airport to city center, and does it faster than a taxi...
We have our own language, but everybody speaks english, so don't be afraid of asking for directions, etc!