Eagle is a very good piece of software. Specifically, the non-free versions scale up to much bigger targets. Meanwhile, you have all of those tools available for your 10x8 cm double-sided board as freeware (for non-commercial projects AFAICT).
Other free software you might want to check out:
- expresspcb: http://www.expresspcb.com/ (only works with their board making service)
- gEDA: http://www.gpleda.org/ (open source -- is to Eagle what Gimp is to Photoshop)
- pad2pad: http://www.pad2pad.com/
- Tina: Online-Offline Circuit Simulator for Analog, Digital & MCU Circuits (includes some simulation capability)
- FreePCB: http://www.freepcb.com/ (open source -- it's more like MS Paint than a full system)