Cleaning and Stain Removal - cleaning tile floors

My house was built in the 1950's and has tile floors (asphalt tiles, of the non-asbestos variety) These tiles look really cool when they are cleaned and waxed, but I hate to go through that drama every time I clean them.

Can I damp mop them weekly without affecting the polish? Right now, I just spot clean with Windex when something spills, but it would be much easier to just swing the mop across it once a week or so.

A non-ammoniated liquid wax stripper/floor cleaner can be used to remove old wax and soil. After rinsing, a couple coats of sealer is used to seal floors. Finally, a couple coats of polish are be applied. Floors can be maintained by damp mopping with pH neutral cleaner. Professional floor maintenance products can be found at janitorial supplies and online. You should not have to strip floors more than once or twice a year depending upon traffic. Always rinse with plain water after damp mopping with cleaner. Avoid ammonia-based cleaners and solvents.

You may want to try a sealer/finish. It will seal the tile to protect the tile itself, while providing the finish and appearance that you desire. A quality finish from a janitoral supply store can be a high gloss, to medium and down to a matte finish. Depending on how you desire your floor to look. The higher the gloss the more work it will be to maintain it. A quality finish will last as long as you use the neutral cleaner tweleve pole suggests. A cleaner with a higher pH than the finish will wear it down over time. Once a finish is applied you can also use a restorer every 6 months to a year depending on wear. The restorer will bring the shine back without the need to reapply finish. The basic rule is the more finish you apply the higher the shine, but the harder to remove the finish when you restrip (refinish). All the above mentioned products can be found pretty affordable.