you can re suspend the DNA pellet in TE buffer or Filter sterilize autoclaved milli Q.then store it on -20 degree..don't store it on -80 degree..i have experienced the shearing of DNA when stored in -80 degree, so its safe to store in -20 for long term storage..and make aliquot of your DNA sample so you don't need to freeze thaw it every time..
One thing to avoid: acidic solutions. That includes some extra-pure H2O. We have destroyed quite a number of PCR primers that way, after storing aqueous solutions for 1-2 years at -20°C. In TE buffer they keep much better.
The standard combination of TrisHCl (10mM pH8.0) and EDTA (1mM) works well. The basic conditions reduce rate of depurination while chelation discourages nuclease activity (most are dependent on divalent cations). We noticed a significant improvement in the stability of working multiplex PCR primer stocks prepared in TE (10:1, pH8) compared with dulicate primers reconstituted in molecular biology grade water by same vendor. For longterm stability, primers or DNAs may also be stored in the freezer as lyophilized pellets.