Load them on ships, planes, buses and dump them back wherever they came from whether they like it or not.
I would like to see 10,000 a day but whatever the number it needs to start, many will leave on their own once it does.
Ships, planes, and buses need to have the permission of local governments to dock at ports, land at airports, or cross borders. Also since people to be deported come from different countries and are all over the US, getting an efficient transport mechanism going is not going to be that easy.