I am a single-member LLC being taxed as a disregarded entity. Can I depreciate a travel trailer. Are there any other tax deductions for the purchase and ongoing use?

I am corporately filed as a single-member LLC, but taxed as a disregarded entity.  I plan to use the travel trailer primarily for business use, but will have some personal use involved as well.  I am interested in whether I can depreciate the trailer as an "asset".  If so, do I have to purchase it using my FIN or can I purchase it as an individual (again, complications between legal and IRS view of my LLC)?  Finally, what additional tax deductions can I use/count?