Hi Anna, you can do this on your home machine. I've done quilts that are quite large on mine and though it seems intimidating, even impossible at times, it can be done! :-D
Here's a link to Diane Gaudynski's site that may give you more inspiration and help.
http://www.dianegaudynski.net/ She's an award winning quilter who does all her work on her home machine. Good luck and let us know how it turns out. :-)