If you rent your inherited house, your capital gains tax is higher. If you inherit a house that you don't want to live in, you can sell the house or rent it out. If the market's flat right in your area, renting may be the better financial option.It will have an effect on your taxes, though, so take that into account when choosing your options.eassessment. Whether you rent or live in the house, you may see higher property taxes than the former owner. California law limits increases in assessed value to 2 percent a year. When the house changes hands, it gets reassessed to its real worth.