(Much of this material is copied & reformatted from https://sealevel.info/resources.html#satellite.)
Here are some links to Aviso satellite altimetry info:
• sea level graph (GIA added) (on right select Missions🛰→All)
• graph without GIA added (circa 2016, last available version)
• old version graph (circa 2012, used in my paper)
• notes (or old version) about processing, revisions, error corrections, etc.
• criticism of their dramatic revisions to ENVISAT data [alt]
• explanation of their dramatic revisions to ENVISAT data
Even though the satellite measurements show no significant acceleration in sea-level rise, changes in how the satellite data is processed and adjusted have substantially increased the amount of sea-level rise which U. Colorado reports. There are many different factors  which can affect reported trends, but which are difficult to ascertain with certainty, and are subject to substantial and often mysterious corrections.
To see how malleable the satellite altimetry data is, consider this well-known 2014 paper, which sought to explain away an apparent declining trend (deceleration) in the rate of sea-level rise measured by satellite altimetry. They managed to massage the data until that embarrassing decline had almost entirely disappeared. (Does that remind you of anything?)
Here are two pairs of graphs from the paper, each with “before” and “after” versions, showing how they “corrected” the work of 5 (five!) different satellite altimetry analysis groups, to almost completely eliminate the decline, which all five groups had measured:
In a 2017 paper they finished the process. With additional adjustments to old data, and a few more years of new data, the same group finally managed to find the elusive acceleration:
Of course, coastal (tide gauge) measurements of sea-level are not subject to such adjustments, and they remain stubbornly linear:
Another example illustrating the malleability of the satellite altimetry data is a widely-hyped 2018 paper by U. Colorado's Dr. Steve Nerem et al, which claimed to have discovered “acceleration” in the satellite altimetry measurement record of sea-level — by reducing the rate of measured sea-level rise in 20 year-old Topex-Poseidon data, thereby making more recent measurements appear to have accelerated, by comparison:
To address some of these problems, in 2011 NASA proposed (and re-proposed in 2014 / 2015) a new satellite mission called the Geodetic Reference Antenna in SPace (GRASP). The proposal is discussed here, and its implications for measuring sea-level are discussed here. The Europeans are apparently considering a similar mission
DORIS (Doppler Orbitography and Radiopositioning Integrated by Satellite) is a Doppler satellite tracking system for determining satellite locations.
NOAA's National Geodetic Survey CORS program (Continuously Operating Reference Stations) provides satellite-based 3D positional data, measuring subsidence, uplift, and lateral movement of the Earth's surface at more than 1,900 locations. Here's a map showing the station locations: http://www.ngs.noaa.gov/CORS_Map/.