You tax the carbon. That tax money is then put into an account. At the end of the year, every single individual is then given an equal share. The disincentives the use of carbon, while at the same time providing means that a majority of people actually get a net benefit.
The land tax should be set so that the price of the house becomes just the price of the house - the cost of the materials and labor. The land value should drop to zero. You then take that money, maybe use some of it for some public goods, might use some of it to get rid of bad taxes like property, income and sales, then give the rest back just as with the carbon tax.
The transition needs to be done with care(I heavily like giving everyone tax credits equal to the current value of their land, others like phasing in the tax over decades), but once we are in a land value tax environment everyone will be better off.