In general, Asus makes pretty good budget oriented monitors. The Asus VE228H 21.5" has some pretty good user reviews and $135 after rebate + shipping.http://www.newegg.com/Product/Product.aspx?Item=N82E16824236100
There's also the 23" ASUS VH232H for $145 after rebate + shipping.http://www.newegg.com/Product/Product.aspx?Item=N82E16824236079
As long as you do not plan on playing games, the Intel HD 3000 integrated graphic core is fine for multitasking. Multitasking is dependent on the CPU core, not the GPU core.