asbestos on hardwood or vinyl? how to tell?

I've lived in this same house for 30 years and my mom and I always had carpet in it. We purchased a carpet maybe 11 years ago, and then a new one a few months ago. We weren't feeling good with the new carpet at all. Started getting weird pains (and rashes!) that we never had before.

Under 95% of the house, is hardwood (in pretty good condition that I can tell). I tried pulling up the carpet myself, but it was hard so we are getting someone to come help later today.

Since the new carpet was put in in April, there doesn't seem to be much dust under the carpet we have now.

The problem is, we are going to get laminate flooring and probably won't get it installed until late next week. But, we want this carpet removed by today (Saturday).

I am a little concerned about asbestos. Like I said, 95% of the house is wood flooring, but I know right next to the front door, there is really old viynl (from the 70's).. Is it best to get something like this removed? Do I need to get it tested for asbestos and then remove it? I'm not sure how that's done.

Is it safe to stay in a house after we have removed all the carpet? The wood underneith seems really strong and in good shape. But, I don't know how to tell if there might be asbestos anywhere in the house.

Thanks for your help