Tile – Dealing with Asbestos Floor Tiling

This is a cement kitchen floor (about 300 sq ft). Removed cheap pergo flooring and discovered a layer of tiles from 1962. Had them tested and came back with a high composition of asbestos. Here are the pictures so you can see what i'm up against:

You can see I removed the one tile for testing. They all appear about as easy to remove. A paint scraper removed it fully intact fairly easily.

Here are the 3 options, and questions I have:

1. Go over it with ceramic Tile?
   I'm concerned that ceramic tiles/grout will come up / crack. Would I reduce that risk if I use 16x16s? The original tiles in the middle of the floor seem to be pretty stable. But, then I was able to just slide a paint scraper under that corner one and it popped up. What if I put down a layer of ditra first? Or seal it with RedGuard? Think that would stabilize it enough? I'm doing a small test area in tile right now and checking stability. I'm not sure this is even a valid test?

2. Remove it / abate or not?
   Note: My county allows me to throw away up to 1 cubic yard of material without a permit. I only want to go this route if it's going to be easy. Given how easily the tiles come up without breaking, do I even need to take all precautions (seal off room, use hazmat gear etc.)? Keeping in mind, we are living in this house right now with small children – safety is top priority! If I can remove every single tile without breaking it (confident I can), is it wise to abate it properly or is this overkill?

3. Other floor coverings?
   This kitchen adjoins a 1962 hardwood floor in the rest of the house which we plan to refinish. So wood is going to look stupid up against it since it wont' match with adjoining wood. I've thought about going over it with cork. But that's not really in style anymore. I could use fake ceramic looking peal/stick… but this is a higher end house and I think that would cheapen it too much. Same problem with vinyl – cheap looking. What other options are there?