What type of excavator is best for digging and moving dirt for house construction
If the ground is not solid rock, or on the side of a mountain a large backhoe should work just fine
Unless you need to dig particularly large areas, landscape several acres, or reach far down a hillside, a compact one will work just fine, especially if you need to make use of attachments like an auger.
Agree with Retired backhoe
Case brand model 480 C construction king tractor loader backhoe.
You can try Hitachi ZX130-5 from Wajaxequipment. It has a blade that dramatically increases versatility. With this machine, you can handle your digging, backfilling and leveling needs.