The Earth rotates on it's axis at 1,040 miles per hour
The Earth revolves around the sun at 66,600 miles per hour
Our sun moves within the Milky Way Galaxy at 558,000 miles per hour
The Milky Way Galaxy moves within the Local Group of Galaxies at 666,000 miles per hour
The Universe is expanding at the Hubble Constant. Scientists have not yet come to a conclusion on how fast that is, and is variable depending upon the distance from the observer. Right now it’s estimated in a range of 111,600 (miles/hour) per Megaparsec to double that speed at 223,200 (miles/hour) per Megaparsec.
So, if you travel in time, but not in space. You will most likely pop out in the middle of deep space because everything in the universe (including the universe) is in motion.