Conventional top load washers roughly use 20-22 gallons per fill when set on large load. A normal load will use 40-44 gallons of water. If the user chooses extra rinse, it will add 20-22 gallons.
Front load washers are harder to determine the water usage because it fills with enough water to saturate the clothes. The average gallons used on normal is 13-15 gallons. I have provided you with a comparison of a top load to a front load.
The new high efficiency front load washer will provide a significant savings compared to your 1988 Kenmore top load model. The 1988 model likely had the following specifications regarding water and electricity usage:
Average gallons per load 40
Water usage: 16,640 gallons/year (based on about 8 loads per week)
Energy usage: 529 kWh/year
Operating cost for electricity: $42/year
Here are the comparable specifications for a new Kenmore HE5 washer model 47081:
average gallons per load 13
Water usage: 5476 gallons/year
Energy usage: 173 kWh/year
Operating cost for electricity: $15/year
The operating cost does not take into account the difference in water usage. You would probably save about $80 per year in total utility costs with a new Kenmore HE washer.
The dryers use about the same amount of energy. The newer HE dryers have moisture sensors that can slightly reduce the energy used compared to a 1988 model.
Here is a link for the Kenmore HE5 washer model 47081 that was used for this comparison:
Kenmore HE5 Washer Model 47081
If you need more help, resubmit your question with additional details.