FWIW I live about 3 miles from a major earthquake fault that is long overdue for a major event. During an earthquake I would worry about my house falling around my drill press, not my drill falling over. First make sure your house is fully earthquake proofed! Things around the house should be mostly prepared for earthquakes with taller cabinets bolted to the walls, shelving that has a lip on it, etc. Now lets get back to a normal life...
Everything in my garage needs to be on top quality wheels with 2 fixed and 2 swivel double locking wheels. For my floor standing drill press some smaller 3" wheels raised it up about 4.5", putting my current average table working height for regular drill bits at around 46". Standing 5' 10" that is a comfortable working height for me with good visuals.
Since I love recycling and "If it is FREE it is for me" moto, I took an excellent used condition Ikea night stand with 2 drawers as a base cabinet, and modified the cabinet with a cut out for the mast of the DP, and boxed in the back of drawer for clearance of the mast. While also fully gluing the cabinet plus drawers and using biscuits where needed. With drawers full this probably added almost 60lbs to the base down low.
Everyone's needs are different. I do a lot of metal working and my drill press needs to be ready to get oily, along with having a tubing fish mouth jig bolted to the table which takes up a lot of vertical space. With a floor standing drill press and the lower Ikea cabinet I have plenty of space to work. Also made my drill press table for woodworking bolts to the DP table so it can be installed and removed in around 20 seconds with hand T nuts.
There are a ton of photos and write ups available. Here are a few I used for ideas to plan my cabinet out.
https://www.lumberjocks.com/projects/419320https://www.woodsmithplans.com/plan/3-in-1-drill-press-upgrade/https://www.lumberjocks.com/projects/82112https://www.lumberjocks.com/projects/126873https://fixthisbuildthat.com/diy-drill-press-stand-plans/https://www.lumberjocks.com/projects/264090