We've used L&M a few times in the past and had a great experience w/ them.
One visit we didn't bring a credit card w/ us (the rental company we reserved w/ assured us the debit card would be fine...they lied) L&M not only took our debit card no problem...but they gave us the same type of car we originally reserved w/ the other company...at the same price (discounted).
Granted this was a number of years ago (probably about 7 or 8??) but I wouldn't hesitate using them today if the price was right.