Paul,
If you have a HOME computer, you don't need to bring ANYTHING from the office. LOGMEIN runs on the HOME computer and accesses your OFFICE computer through the internet.
AC runs on the OFFICE computer, the HOME computer screen mirrors the OFFICE desktop.
Any cheap desktop or laptop with decent internet connection would do.
A VPN like Hamachi runs AC on the HOME computer and accesses the database on the OFFICE computer. Works, but SLOOOOW to load.
At home I usually use a MAC and LOGMEIN. I use the free version. If I need a file from the office, I email it to myself and open at home.