You didn't provide much information about your startup. This I think is critical to properly answer this question. Be analytical however. Put yourself in the investors position and determine with each investor if they would entertain that idea, as you put it. If not, don't risk losing their investment altogether and just avoid asking for personal investment. After all this is your troubles not his/hers, if the investor joins chances are is because they like you and your business potential. Once you have them your commuting can be accepted as far as the burden it might put on your business growth and attention. But as far as financing, I would say that if you find one, you're luck is better than those who win the lottery.

As an investor myself, and entrepreneur, I find to difficult to justify how commuting or relocating a startup is good for business. If you absolutely have to though, your goal is to focus on pitching that value... The relocation. Once that value is sold to the investor the obvious "I'll have to move and thus need basic living expenses covered" becomes an easy natural sell to an investor who likes your original idea and understands the value need for relocating.

Work around the personal needs with driving home the value of relocating the startup and paying full attention to it once is moved. :)

Have a great journey, keep us posted!
Email me at iwill@unthink.me to let me know it goes, is always exiting and great learning exp. to see what works with investors and pitches look like.