Best of North Strip
There are numerous options adjacent to or very near Wynn/Encore. For inexpensive you can head just a bit north on LV Blvd and find Tacos El Gordo - gets a lot of positive reviews on the board. Great for a quick lunch. The Peppermill is also relatively close to your hotel and offers an old school Vegas environment - think neon lights, etc. Go there for breakfast if you have a big appetite or want to share as portions are large. Others have commented their bar is fun and offers a wide variety of drinks at reasonable prices (I haven't tried the bar, only breakfast.)
Across the Strip from the Wynn/Encore is the Fashion Show Mall and it has numerous dining options as well. The Capital Grille is a nice mid-level steak house with a good view of the Strip; for family style Italian Dining there is a Maggianos' Little Italy. Both of these are solid choices.
Bartolotta in the Wynn is an excellent, but expensive, seafood restaurant. The Country Club in the Wynn offers a nice breakfast/lunch. A short walk to the Palazzo/Venetian opens up another group of restaurants to include: Delmonico/Carnevino/Cut for steak; Bouchon for breakfast/brunch; Table 10 for New Orleans style cuisine.
I would recommend any/all of the above. It just depends on your taste. A quick search on this board will give you feedback/comments on all of these choices.
Wasn't impressed at all with Tacos el Gordo. Head downtown and go eat at Tiffany's Cafe in the old White Cross Drugs store. It is an old school LV gem that deserves to keep going. Open 24 hrs, and big portions. I love the Western Omelette after a night of partying. The only draw back may be that they are cash only. The Westerm runs under $8. It is a greasy spoon, but great food.
Look for Frankie's Tiki Room for cocktails, as well as Bar+Bistro or Artifice in the arts district (Chrleston and Main).